Aydi, Rabeb; Kchaou, Omaima; Trunk, Carsten:
Hermitian pencils and their representation in Krein spaces
#!ilm_mods_00079059!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M26,01 (2026)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-202620001
Martínez Pería, Francisco; Trunk, Carsten; Pería, Francisco Martínez:
The Weyr characteristic of the inverse, the adjoint and the orthogonal of a linear relation
#!ilm_mods_00079693!#
In: Complex analysis and operator theory, vol. 20 (2026), no. 3, art. 83
DOI: https://doi.org/10.1007/s11785-026-01937-1
Martínez Pería, Francisco; Trunk, Carsten:
The Weyr characteristic of the inverse, the adjoint and the orthogonal of a linear relation
#!ilm_mods_00055012!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M 25,01 (2025)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-202520023
Leben, Florian; Leguizamón, Edison; Trunk, Carsten; Winklmeier, Monika:
Limit point and limit circle trichotomy for Sturm-Liouville problems with complex potentials
#!ilm_mods_00044807!#
In: Proceedings of the American Mathematical Society, vol. 153 (2025), no. 4, pp. 1539–1558
DOI: https://doi.org/10.1090/proc/17129
Gernandt, Hannes; Trunk, Carsten:
Eigenvalues of parametric rank-one perturbations of matrix pencils
#!ilm_mods_00043035!#
In: Linear algebra and its applications: LAA, vol. 708 (2025), pp. 429–457
DOI: https://doi.org/10.1016/j.laa.2024.12.012
Baragaña, Itziar; Martínez Pería, Francisco; Roca, Alicia; Trunk, Carsten:
One dimensional perturbation problem for linear relations
#!ilm_mods_00043036!#
In: Linear algebra and its applications: LAA, vol. 721 (2025), pp. 775–808
DOI: https://doi.org/10.1016/j.laa.2025.01.017
Derkach, Volodymyr A.; Trunk, Carsten; Yusupov, Jambul R.; Matrasulov, Davronbek U.:
Transparent boundary conditions for the stationary Schrödinger equation via Weyl–Titchmarsh theory
#!ilm_mods_00073847!#
In: Journal of physics A: Mathematical and theoretical, vol. 58 (2025), no. 34, art. 345201
DOI: https://doi.org/10.1088/1751-8121/adf787
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On non-negative operators in Krein spaces and their perturbations
#!ilm_mods_00079060!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M25,03 (2025)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-202520046
Leguizamón, Edison; Trunk, Carsten; Wilson, Mitsuru; Winklmeier, Monika:
1-D Schrödinger operator on a star graph with nondefinite weight function
#!ilm_mods_00066683!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M25,02 (2025)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-202520028
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Perturbation and spectral theory for singular indefinite Sturm–Liouville operators
#!ilm_mods_00016086!#
In: Journal of differential equations, vol. 405 (2024), pp. 151–178
DOI: https://doi.org/10.1016/j.jde.2024.05.043
Rakhmanov, Saparboy; Trunk, Carsten; Matrasulov, Davron:
Quantum particle under dynamical confinement: from quantum fermi acceleration to high harmonic generation
#!ilm_mods_00016201!#
In: Physica scripta : an international journal for experimental and theoretical physics, vol. 99 (2024), no. 7, art. 75308
DOI: https://doi.org/10.1088/1402-4896/ad52c8
Ćurgus, Branko; Derkach, Volodymyr; Trunk, Carsten:
Indefinite Sturm–Liouville operators in polar form
#!ilm_mods_00010213!#
In: Integral equations and operator theory: IEOT, vol. 96 (2024), art. 2
DOI: https://doi.org/10.1007/s00020-023-02746-3
Honecker, Maria Christine; Gernandt, Hannes; Wulff, Kai; Trunk, Carsten; Reger, Johann:
Feedback rectifiable pairs and stabilization of switched linear systems
#!ilm_mods_00012254!#
In: Systems & control letters, vol. 186 (2024), art. 105755
DOI: https://doi.org/10.1016/j.sysconle.2024.105755
Akramov, Mashrab; Trunk, Carsten; Yusupov, Jambul; Matrasulov, Davron:
Discrete Schrödinger equation on graphs: an effective model for branched quantum lattice
#!ilm_mods_00020437!#
In: epl: a letters journal exploring the frontiers of physics, vol. 147 (2024), no. 6, art. 62001
DOI: https://doi.org/10.1209/0295-5075/ad752e
Rakhmanov, Saparboy; Trunk, Carsten; Znojil, Miloslav; Matrasulov, Davron:
PT-symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase
#!ilm_mods_00015113!#
In: Physical review: A. Covering atomic, molecular, and optical physics and quantum information, vol. 109 (2024), no. 5, art. 53519
DOI: https://doi.org/10.1103/PhysRevA.109.053519
Rakhmanov, Saparboy; Trunk, Carsten; Znojil, Miloslav; Matrasulov, Davron:
PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
#!ilm_mods_00031577!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M24,02 (2024)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2024200246
Akramov, Mashrab; Trunk, Carsten; Yusupov, Jambu; Matrasulov, Davron:
Discrete Schrödinger equation on graphs: an effective model for branched quantum lattice
#!ilm_mods_00031578!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M24,03 (2024)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2024200157
Wilson, Mitsuru; Khelif, Hassen; Trunk, Carsten:
On the essential spectrum of operator pencils
#!ilm_mods_00023114!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 24 (2024), no. 4, art. e202400095
[94. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Magdeburg, 18.-22.03.2024)]
DOI: https://doi.org/10.1002/pamm.202400095
Berger, Thomas; de Snoo, Henk; Trunk, Carsten; Winkler, Henrik:
A Jordan-like decomposition for linear relations in finite-dimensional spaces
#!ilm_mods_00021141!#
In: Transactions of the American Mathematical Society, vol. 377 (2024), no. 12, pp. 8659–8693
DOI: https://doi.org/10.1090/tran/9213
Derkach, Volodymyr; Trunk, Carsten; Yusupov, Jambul R.; Matrasulov, Davron U.:
Transparent boundary conditions for the stationary Schrödinger equation via Weyl-Titchmarsh theory
#!ilm_mods_00021099!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M24,01 (2024)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2024200137
Derkach, Volodymyr; Trunk, Carsten:
PT-symmetric couplings of dual pairs
#!ilm_mods_00080026!#
In: Advances in functional analysis and operator theory: AMS-EMS-SMF Special Session Advances in Functional Analysis and Operator Theory, July 18–22, 2022, Université de Grenoble-Alpes, Grenoble, France (ISBN 978-1-4704-7611-3), (2024), pp. 53–76
DOI: https://doi.org/10.1090/conm/798/15981
Assanova, Anar; Trunk, Carsten; Uteshova, Roza:
On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
#!ilm_mods_00080027!#
In: Advances in functional analysis and operator theory: AMS-EMS-SMF Special Session Advances in Functional Analysis and Operator Theory, July 18–22, 2022, Université de Grenoble-Alpes, Grenoble, France (ISBN 978-1-4704-7611-3), (2024), pp. 13–19
DOI: https://doi.org/10.1090/conm/798/15979
Markin, Marat V.; Nikolaev, Igor V.; Trunk, Carsten (eds.):
Advances in functional analysis and operator theory: AMS-EMS-SMF Special Session Advances in Functional Analysis and Operator Theory, July 18–22, 2022, Université de Grenoble-Alpes, Grenoble, France
#!ilm_mods_00080028!#
Providence, Rhode Island : American Mathematical Society, 2024. - ISBN 978-1-4704-7611-3
[AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory (Grenoble, 18.-22.07.2022)]
(Contemporary mathematics ; 798)
DOI: https://doi.org/10.1090/conm/798
Derkach, Volodymyr; Trunk, Carsten:
PT-symmetric couplings of dual pairs
#!ilm_mods_00002083!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,03 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200049
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Relative oscillation theory and essential spectra of Sturm–Liouville operators
#!ilm_mods_00000691!#
In: Journal of mathematical analysis and applications, vol. 518 (2023), no. 1, art. 126673
DOI: https://doi.org/10.1016/j.jmaa.2022.126673
Rakhmanova, Saparboy; Trunk, Carsten; Matrasulov, Davron:
Quantum particle under dynamical confinement: from quantum Fermi acceleration to high harmonic generation
#!ilm_mods_00013682!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,09 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200218
Leben, Florian; Leguizamón, Edison; Trunk, Carsten; Winklmeier, Monika:
Limit point and limit circle trichotomy for Sturm-Liouville problems with complex potentials
#!ilm_mods_00008705!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,10 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200258
Qi, Yaru; Qiu, Wenwen; Trunk, Carsten; Wilson, Mitsuru:
Spectral inclusion property for a class of block operator matrices
#!ilm_mods_00017867!#
In: Operators and matrices: OaM, vol. 17 (2023), no. 4, pp. 953–966
DOI: https://doi.org/10.7153/oam-2023-17-63
Qi, Yaru; Qiu, Wenwen; Trunk, Carsten; Wilson, Mitsuru:
Spectral inclusion property for a class of block operator matrices
#!ilm_mods_00002011!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,02 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200026
Behrndt, Jussi; Gesztesy, Fritz; Schmitz, Philipp; Trunk, Carsten:
Lower bounds for self-adjoint Sturm-Liouville operators
#!ilm_mods_00002012!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,01 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200011
Ćurgus, Branko; Derkach, Volodymyr; Trunk, Carsten:
Indefinite Sturm-Liouville operators in polar form
#!ilm_mods_00003282!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,05 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200114
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Perturbations of periodic Sturm–Liouville operators
#!ilm_mods_00003714!#
In: Advances in mathematics, vol. 422 (2023), art. 109022
DOI: https://doi.org/10.1016/j.aim.2023.109022
Assanova, Anar; Trunk, Carsten; Uteshova, Roza:
On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
#!ilm_mods_00005607!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,06 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200182
Albeverio, Sergio; Derkach, Volodymyr; Malamud, Mark:
Functional models of symmetric and selfadjoint operators
#!ilm_mods_00007018!#
In: From complex analysis to operator theory: a panorama: in memory of Sergey Naboko. - Cham : Birkhäuser, 2023, pp. 75–122
DOI: https://doi.org/10.1007/978-3-031-31139-0_7
Behrndt, Jussi; Gesztesy, Fritz; Schmitz, Philipp; Trunk, Carsten:
Lower bounds for self-adjoint Sturm-Liouville operators
#!ilm_mods_00008215!#
In: Proceedings of the American Mathematical Society, vol. 151 (2023), no. 12, pp. 5313–5323
DOI: https://doi.org/10.1090/proc/16523
Baragaña, Itziar; Martínez Pería, Francisco; Roca, Alicia; Trunk, Carsten:
The rank-one perturbation problem for linear relations
#!ilm_mods_00009599!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,12 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200305
Khlif, Hassen; Trunk, Carsten; Wilson, Mitsuru:
On the essential spectrum of operator pencils
#!ilm_mods_00009597!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,11 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200291
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Perturbation and spectral theory for singular indefinite Sturm-Liouville operators
#!ilm_mods_00005985!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,08 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200208
Honecker, Maria Christine; Gernandt, Hannes; Wulff, Kai; Trunk, Carsten; Reger, Johann:
Feedback rectifiable pairs and stabilization of switched linear systems
#!ilm_mods_00005986!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M23,07 (2023)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2023200194
Berger, Thomas; Snoo, Hendrik S.V.; Trunk, Carsten; Winkler, Henrik:
A Jordan-like decomposition for linear relations in finite-dimensional spaces
#!ilm_mods_00001107!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22/05 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200249
Gernandt, Hannes; Trunk, Carsten:
Eigenvalues of parametric rank one perturbations of matrix pencils
#!ilm_mods_00001109!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22/04 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200237
Kellner, Maria:
Bifurcations from codimension-one D4m-equivariant homoclinic cycles
#!ilm_mods_00003096!#
Ilmenau, 2022
DOI: https://doi.org/10.22032/dbt.55480
Schmitz, Philipp:
The spectra of indefinite singular Sturm-Liouville operators
#!ilm_mods_00002592!#
Ilmenau, 2022
DOI: https://doi.org/10.22032/dbt.50260
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Relative oscillation theory and essential spectra of Sturm-Liouville operators
#!ilm_mods_00002539!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22/02 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200169
Gernandt, Hannes; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
On characteristic invariants of matrix pencils and linear relations
#!ilm_mods_00002560!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M22,01 (2022)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2022200140
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark:
Generalized boundary triples, II: some applications of generalized boundary triples and form domain invariant Nevanlinna functions
#!ilm_mods_00002608!#
In: Mathematische Nachrichten, vol. 295 (2022), no. 6, pp. 1113–1162
DOI: https://doi.org/10.1002/mana.202000049
Leben, Leslie; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten; Winkler, Henrik:
Finite rank perturbations of linear relations and matrix pencils
#!ilm_mods_00001864!#
In: Complex analysis and operator theory, vol. 15 (2021), no. 2, art. 37
DOI: https://doi.org/10.1007/s11785-021-01082-x
Baidiuk, Dmytro; Derkach, Volodymyr; Hassi, Seppo:
Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents
#!ilm_mods_00001865!#
In: Complex analysis and operator theory, vol. 15 (2021), no. 2, art. 32
DOI: https://doi.org/10.1007/s11785-020-01073-4
Janse van Rensburg, Dawie B.; van Straaten, Madelein; Theron, Frieda; Trunk, Carsten:
Square roots of H-nonnegative matrices
#!ilm_mods_00009122!#
In: Linear algebra and its applications: LAA, vol. 621 (2021), pp. 29–49
DOI: https://doi.org/10.1016/j.laa.2021.03.006
Gernandt, Hannes; Trunk, Carsten:
Locally finite extensions and Gesztesy-Šeba realizations for the Dirac operator on a metric graph
#!ilm_mods_00009449!#
In: Operator theory: proceedings of the International Conference on Operator Theory, Hammamet, Tunisia, April 30 - May 3, 2018 (ISBN 978-3-11-059686-1), (2021), pp. 25–54
DOI: https://doi.org/10.1515/9783110598193-002
Berger, Thomas; Snoo, Hendrik S.V.; Trunk, Carsten; Winkler, Henrik:
Linear relations and their singular chains
#!ilm_mods_00003901!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M21/01 (2021)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021200018
Derkach, Volodymyr; Schmitz, Philipp; Trunk, Carsten:
PT-symmetric Hamiltonians as couplings of dual pairs
#!ilm_mods_00003928!#
In: Contributions to mathematics and statistics: essays in honor of Seppo Hassi. - Vaasa : Vaasan yliopisto, 2021, pp. 55–68
URL: https://urn.fi/URN:ISBN:978-952-476-960-0
Gernandt, Hannes; Trunk, Carsten:
The spectrum and the Weyr characteristics of operator pencils and linear relations
#!ilm_mods_00003891!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M21/05 (2021)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021200091
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten:
Perturbations of periodic Sturm-Liouville operators
#!ilm_mods_00003893!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M21/04 (2021)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021200075
Derkach, Volodymyr; Schmitz, Philipp; Trunk, Carsten:
PT-symmetric Hamiltonians as couplings of dual pairs
#!ilm_mods_00003898!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M21/02 (2021)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021200042
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark:
Generalized boundary triples, II: some applications of generalized boundary triples and form domain invariant Nevanlinna functions
#!ilm_mods_00003897!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M21/03 (2021)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021200058
Gernandt, Hannes; Haller, Frederic E.; Reis, Timo; Schaft, Abraham Jan van der:
Port-Hamiltonian formulation of nonlinear electrical circuits
#!ilm_mods_00008959!#
In: Journal of geometry and physics: JGP, vol. 159 (2021), art. 103959
DOI: https://doi.org/10.1016/j.geomphys.2020.103959
Derkach, Volodymyr; Dym, Harry:
Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces
#!ilm_mods_00008958!#
In: Journal of functional analysis, vol. 280 (2021), no. 2, art. 108776
DOI: https://doi.org/10.1016/j.jfa.2020.108776
Gernandt, Hannes:
Spectral perturbation & optimization of matrix pencils
#!ilm_mods_00005349!#
Ilmenau : Universitätsverlag Ilmenau, 2021. - ISBN 978-3-86360-246-8
DOI: https://doi.org/10.22032/dbt.49285
Giribet, Juan; Langer, Matthias; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
Spectral enclosures for a class of block operator matrices
#!ilm_mods_00009352!#
In: Journal of functional analysis, vol. 278 (2020), no. 10, art. 108455
DOI: https://doi.org/10.1016/j.jfa.2019.108455
Gernandt, Hannes; Haller, Frédéric E.; Reis, Timo:
A linear relation approach to port-Hamiltonian differential-algebraic equations
#!ilm_mods_00011120!#
In: Hamburger Beiträge zur angewandten Mathematik, vol. [2020, 16] (2020)
URL: http://epub.sub.uni-hamburg.de/epub/volltexte/2020/112509/
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten:
Invariance of the essential spectra of operator pencils
#!ilm_mods_00010043!#
In: Operator theory, operator algebras and their interactions with geometry and topology: Ronald G. Douglas memorial volume (ISBN 978-3-030-43380-2), (2020), pp. 203–219
DOI: https://doi.org/10.1007/978-3-030-43380-2_10
Emmrich, Etienne; Trunk, Carsten:
Gut vorbereitet in die erste Mathematikklausur: Aufgaben und Lösungen
#!ilm_mods_00011276!#
2., aktualisierte Auflage. - München : Hanser, 2020. - ISBN 978-3-446-46615-9
DOI: https://doi.org/10.3139/9783446466159
Janse van Rensburg, Dawie B.; Van Straaten, Madelein; Theron, Frieda; Trunk, Carsten:
Square roots of H-nonnegative matrices
#!ilm_mods_00005643!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M20,01 (2020)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2020200426
Gernandt, Hannes; Pade, Jan Philipp:
Schur reduction of trees and extremal entries of the Fiedler vector
#!ilm_mods_00012937!#
In: Linear algebra and its applications: LAA, vol. 570 (2019), pp. 93–122
DOI: https://doi.org/10.1016/j.laa.2019.02.008
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał:
The gap distance to the set of singular matrix pencils
#!ilm_mods_00013064!#
In: Linear algebra and its applications: LAA, vol. 564 (2019), pp. 28–57
DOI: https://doi.org/10.1016/j.laa.2018.11.020
Leben, Florian:
Operatortheorie für PT-symmetrische Quantenmechanik
#!ilm_mods_00011594!#
Ilmenau : Universitätsbibliothek Ilmenau, 2019
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019000405
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten:
Invariance of the essential spectra of operator pencils
#!ilm_mods_00012668!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,03 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200141
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials
#!ilm_mods_00012673!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,01 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200016
Leben, Florian; Trunk, Carsten:
Operator based approach to PT-symmetric problems on a wedge-shaped contour
#!ilm_mods_00012672!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,02 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200020
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
The non-real spectrum of a singular indefinite Sturm-Liouville operator with regular left endpoint
#!ilm_mods_00012656!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,05 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200280
Giribet, Juan; Langer, Matthias; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten:
Spectral enclosures for a class of block operator matrices
#!ilm_mods_00012667!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M19,04 (2019)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200198
Berger, Thomas; Giribet, Juan; Martinez Pería, Francisco; Trunk, Carsten:
On a class of non-Hermitian matrices with positive definite Schur complements
#!ilm_mods_00012328!#
In: Proceedings of the American Mathematical Society, vol. 147 (2019), no. 6, pp. 2375–2388
DOI: https://doi.org/10.1090/proc/14412
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials
#!ilm_mods_00012835!#
In: Journal of differential equations, vol. 267 (2019), no. 1, pp. 468–493
DOI: https://doi.org/10.1016/j.jde.2019.01.013
Gernandt, Hannes:
Locating the extremal entries of the Fiedler vector for rose trees
#!ilm_mods_00016062!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 19 (2019), no. 1, art. e201900408
[90. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Vienna, 18.-22.02.2019)]
DOI: https://doi.org/10.1002/pamm.201900408
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
The non-real spectrum of a singular indefinite Sturm-Liouville operator with regular left endpoint
#!ilm_mods_00016063!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 19 (2019), no. 1, art. e201900133
[90. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Vienna, 18.-22.02.2019)]
DOI: https://doi.org/10.1002/pamm.201900133
Huang, Junjie; Sun, Junfeng; Chen, Alatancang; Trunk, Carsten:
Invertibility of 2×2 operator matrices
#!ilm_mods_00012105!#
In: Mathematische Nachrichten, vol. 292 (2019), no. 11, pp. 2411–2426
DOI: https://doi.org/10.1002/mana.201800351
Leben, Florian; Trunk, Carsten:
Operator-based approach to PT-symmetric problems on a wedge-shaped contour
#!ilm_mods_00012114!#
In: Quantum studies: mathematics and foundations, vol. 6 (2019), no. 3, pp. 315–333
DOI: https://doi.org/10.1007/s40509-019-00197-3
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Spectral bounds for singular indefinite Sturm-Liouville operators with L¹-potentials
#!ilm_mods_00014463!#
In: Proceedings of the American Mathematical Society, vol. 146 (2018), no. 9, pp. 3935–3942
DOI: https://doi.org/10.1090/proc/14059
Berger, Thomas; Giribet, Juan; Martínez Pería, Francisco; Trunk, Carsten:
On a class of non-Hermitian matrices with positive definite Schur complements
#!ilm_mods_00017237!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M18,09 (2018)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018200139
Gernandt, Hannes; Trunk, Carsten:
Locally finite extensions and Gesztesy-Šeba realizations for the Dirac operator on a metric graph
#!ilm_mods_00017244!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M18,07 (2018)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018200090
Leben, Leslie; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten; Winkler, Henrik:
Finite rank perturbations of linear relations and singular matrix pencils
#!ilm_mods_00017243!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M18,08 (2018)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018200104
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał:
The gap distance to the set of singular matrix pencils
#!ilm_mods_00017252!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M18,05 (2018)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018200051
Giribet, Juan; Langer, Matthias; Leben, Leslie; Maestripieri, Alejandra; Martínez Pería, Francisco; Trunk, Carsten:
Spectrum of J-frame operators
#!ilm_mods_00014078!#
In: Opuscula mathematica: semiannual, vol. 38 (2018), no. 5, pp. 623–649
DOI: https://doi.org/10.7494/OpMath.2018.38.5.623
Jacob, Birgit; Tretter, Christiane; Trunk, Carsten; Vogt, Hendrik:
Systems with strong damping and their spectra
#!ilm_mods_00014374!#
In: Mathematical methods in the applied sciences, vol. 41 (2018), no. 16, pp. 6546–6573
DOI: https://doi.org/10.1002/mma.5166
Giribet, Juan; Langer, Matthias; Leben, Leslie; Maestripieri, Alejandra; Martínez Pería, Francisco; Trunk, Carsten:
Spectrum of J-frame operators
#!ilm_mods_00019513!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,01 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200016
Derkach, Volodymyr; Trunk, Carsten:
Coupling of definitizable operators in Krein spaces
#!ilm_mods_00019522!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,03 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200208
Jacob, Birgit; Tretter, Christiane; Trunk, Carsten; Vogt, Hendrik:
Numerical range and quadratic numerical range for damped systems
#!ilm_mods_00019525!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,05 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200230
Derkach, Volodymyr; Trunk, Carsten:
Coupling of definitizable operators in Kreĭn spaces
#!ilm_mods_00017848!#
In: Nanosistemy: fizika, chimija, matematika = Nanosystems: physics, chemistry, mathematics / Sankt-Peterburgskij Nacionalʹnyj Issledovatelʹskij Universitet, vol. 8 (2017), no. 2, pp. 166–179
DOI: https://doi.org/10.17586/2220-8054-2017-8-2-166-179
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Wojtylak, Michał:
New lower bound for the distance to singularity of regular matrix pencils
#!ilm_mods_00021202!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,10 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200455
Gernandt, Hannes; Krauße, Dominik; Sommer, Ralf; Trunk, Carsten:
A new method for network redesign via rank one updates
#!ilm_mods_00025907!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 857–858
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710396
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał:
A new bound for the distance to singularity of a regular matrix pencil
#!ilm_mods_00025906!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 863–864
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710399
Bergmann, Jean Pierre; Bielenin, Martin; Herzog, Roland A.; Hildebrand, Jörg; Riedel, Ilka; Schricker, Klaus; Trunk, Carsten; Worthmann, Karl:
Prevention of solidification cracking during pulsed laser beam welding
#!ilm_mods_00025904!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 405–406
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710172
Behrndt, Jussi; Gsell, Bernhard; Schmitz, Philipp; Trunk, Carsten:
An estimate on the non-real spectrum of a singular indefinite Sturm-Liouville operator
#!ilm_mods_00025918!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 17 (2017), no. 1, pp. 859–860
[88. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Weimar, 06.-10.03.2017)]
DOI: https://doi.org/10.1002/pamm.201710397
Gernandt, Hannes; Trunk, Carsten:
Eigenvalue placement for regular matrix pencils with rank one perturbations
#!ilm_mods_00025923!#
In: SIAM journal on matrix analysis and applications, vol. 38 (2017), no. 1, pp. 134–154
DOI: https://doi.org/10.1137/16M1066877
Gernandt, Hannes; Krauße, Dominik; Sommer, Ralf; Trunk, Carsten:
A new method for network redesign via rank one updates
#!ilm_mods_00021186!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,08 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200410
Bergmann, Jean Pierre; Bielenin, Martin; Herzog, Roland A.; Hildebrand, Jörg; Riedel, Ilka; Schricker, Klaus; Trunk, Carsten; Worthmann, Karl:
Prevention of solidification cracking during pulsed laser beam welding
#!ilm_mods_00021187!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,09 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200422
Behrndt, Jussi; Gsell, Bernhard; Schmitz, Philipp; Trunk, Carsten:
An estimate on the non-real spectrum of a singular indefinite Sturm-Liouville operator
#!ilm_mods_00021188!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,10 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200464
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Spectral bounds for singular indefinite Sturm-Liouville operators with L¹-potentials
#!ilm_mods_00021191!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M17,12 (2017)
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2017200509
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten:
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
#!ilm_mods_00000717!#
In: Journal of mathematical analysis and applications, vol. 439 (2016), no. 2, pp. 864–895
DOI: https://doi.org/10.1016/j.jmaa.2016.03.012
Jacob, Birgit; Langer, Matthias; Trunk, Carsten:
Variational principles for self-adjoint operator functions arising from second-order systems
#!ilm_mods_00018340!#
In: Operators and matrices: OaM, vol. 10 (2016), no. 3, pp. 501–531
DOI: https://doi.org/10.7153/oam-10-29
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for operators with finitely many negative squares
#!ilm_mods_00030379!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,02 (2016)
Gernandt, Hannes; Trunk, Carsten:
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations
#!ilm_mods_00030383!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,04 (2016)
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R
#!ilm_mods_00030384!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,05 (2016)
Büttner, Florian; Trunk, Carsten:
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics
#!ilm_mods_00030402!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,03 (2016)
Škalikov, Andrej Andreevič; Trunk, Carsten:
Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric
#!ilm_mods_00030403!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,07 (2016)
Gernandt, Hannes; Trunk, Carsten:
Eigenvalue placement for regular matrix pencils with rank one perturbations
#!ilm_mods_00030372!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M16,01 (2016)
Gernandt, Hannes; Trunk, Carsten:
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations
#!ilm_mods_00030455!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 16 (2016), no. 1, pp. 873–874
[87. Joint Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016), 87. Joint Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016)]
DOI: https://doi.org/10.1002/pamm.201610425
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten:
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R
#!ilm_mods_00030456!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 16 (2016), no. 1, pp. 881–882
[87. Joint Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016), 87. Joint Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016)]
DOI: https://doi.org/10.1002/pamm.201610429
Büttner, Florian; Trunk, Carsten:
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics
#!ilm_mods_00030452!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 16 (2016), no. 1, pp. 871–872
[87. Joint Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016), 87. Joint Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV) (Braunschweig, 07.-11.03.2016)]
DOI: https://doi.org/10.1002/pamm.201610424
Leben, Leslie:
Non-negative operators in Krein spaces and rank one perturbations
#!ilm_mods_00025991!#
Ilmenau : Universitätsverlag Ilmenau, 2016. - ISBN 978-3-86360-141-6
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2016000290
Berger, Thomas; Trunk, Carsten; Winkler, Henrik:
Linear relations and the Kronecker canonical form
#!ilm_mods_00029495!#
In: Linear algebra and its applications: LAA, vol. 488 (2016), pp. 13–44
DOI: https://doi.org/10.1016/j.laa.2015.09.033
Ilchmann, Achim; Selig, Tilman; Trunk, Carsten:
The Byrnes-Isidori form for infinite-dimensional systems
#!ilm_mods_00020942!#
In: SIAM journal on control and optimization, vol. 54 (2016), no. 3, pp. 1504–1534
DOI: https://doi.org/10.1137/130942413
Shkalikov, A.A.; Trunk, Carsten:
On stability of closedness and self-adjointness for 2 x 2 operator matrices
#!ilm_mods_00029698!#
In: Mathematical notes, vol. 100 (2016), no. 5, pp. 870–875
DOI: https://doi.org/10.1134/S0001434616110274
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for operators with finitely many negative squares
#!ilm_mods_00029708!#
In: Opuscula mathematica: semiannual, vol. 36 (2016), no. 6, pp. 717–734
DOI: https://doi.org/10.7494/OpMath.2016.36.6.717
Philipp, Friedrich; Trunk, Carsten:
Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces
#!ilm_mods_00018339!#
In: Operators and matrices: OaM, vol. 9 (2015), no. 3, pp. 481–506
DOI: https://doi.org/10.7153/oam-09-30
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten:
The effect of finite rank perturbations on Jordan chains of linear operators
#!ilm_mods_00029985!#
In: Linear algebra and its applications: LAA, vol. 479 (2015), pp. 118–130
DOI: https://doi.org/10.1016/j.laa.2015.04.007
Berger, Thomas; Trunk, Carsten; Winkler, Henrik:
Linear relations and the Kronecker canonical form
#!ilm_mods_00032618!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M15,05 (2015)
Trunk, Carsten:
Locally definitizable operators: the local structure of the spectrum
#!ilm_mods_00032886!#
In: Operator theory. - Basel : Springer Reference, 2015, pp. 241–259
DOI: https://doi.org/10.1007/978-3-0348-0667-1_38
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps
#!ilm_mods_00001866!#
In: Complex analysis and operator theory, vol. 8 (2014), no. 4, pp. 925–936
DOI: https://doi.org/10.1007/s11785-013-0318-2
Jacob, Birgit; Langer, Matthias; Trunk, Carsten:
Variational principles for self-adjoint operator functions arising from second-order systems
#!ilm_mods_00034635!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,09 (2014)
Huang, Junjie; Sun, Junfeng; Chen, Alatancang; Trunk, Carsten:
The invertibility of 2 x 2 operator matrices
#!ilm_mods_00034634!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,10 (2014)
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten:
The effect of finite rank perturbations on Jordan chains of linear operators
#!ilm_mods_00034682!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,02 (2014)
Azizov, Tomas Ya.; Trunk, Carsten:
On limit point and limit circle classification for PT symmetric operators
#!ilm_mods_00034681!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,03 (2014)
Philipp, Friedrich; Trunk, Carsten:
Spectral points of type π + and type π - of closed operators in indefinite inner product spaces
#!ilm_mods_00034670!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M14,04 (2014)
Azizov, Tomas Ya.; Trunk, Carsten:
On a class of Sturm-Liouville operators which are connected to PT symmetric problems
#!ilm_mods_00033271!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 14 (2014), no. 1, pp. 991–992
[85. Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Erlangen, 10.-14.03.2014)]
DOI: https://doi.org/10.1002/pamm.201410476
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Bounds on the non-real spectrum of differential operators with indefinite weights
#!ilm_mods_00034965!#
In: Mathematische Annalen / begr. 1868 durch Alfred Clebsch [u.a.], vol. 357 (2013), no. 1, pp. 185–213
DOI: https://doi.org/10.1007/s00208-013-0904-7
Philipp, Friedrich; Trunk, Carsten:
The numerical range of non-negative operators in Krein spaces
#!ilm_mods_00035108!#
In: Linear algebra and its applications: LAA, vol. 438 (2013), no. 5, pp. 2542–2556
DOI: https://doi.org/10.1016/j.laa.2012.10.048
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten:
On the negative squares of a class of self-adjoint extensions in Krein spaces
#!ilm_mods_00035109!#
In: Mathematische Nachrichten, vol. 286 (2013), no. 2/3, pp. 118–148
DOI: https://doi.org/10.1002/mana.201000154
Philipp, Friedrich; Strauss, Vladimir; Trunk, Carsten:
Local spectral theory for normal operators in Krein spaces
#!ilm_mods_00035110!#
In: Mathematische Nachrichten, vol. 286 (2013), no. 1, pp. 42–58
DOI: https://doi.org/10.1002/mana.201000141
Möws, Roland:
Spektrallücken von indefiniten Sturm-Liouville-Operatoren
#!ilm_mods_00036292!#
Ilmenau, 2013
URL: https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2013000256
Trunk, Carsten:
Locally definitizable operators: the local structure of the spectrum
#!ilm_mods_00036483!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M13,12 (2013)
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten:
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces
#!ilm_mods_00036482!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M13,13 (2013)
Ilchmann, Achim; Selig, Tilman; Trunk, Carsten:
The Byrnes-Isidori form for infinite-dimensional systems
#!ilm_mods_00036475!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M13,14 (2013)
Strauss, Vladimir Abramovich; Trunk, Carsten:
Some Sobelev spaces as Pontryagin spaces
#!ilm_mods_00036699!#
In: Vestnik Južno-Ural’skogo Gosudarstvennogo Universiteta = Bulletin of the South Ural State University., Serija matematika, mechanika, fizika., vol. 6 (2012), no. 11, pp. 14–23
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Bounds on the non-real spectrum of differential operators with indefinite weights
#!ilm_mods_00038331!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M12,07 (2012)
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps
#!ilm_mods_00038362!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M12,12 (2012)
Philipp, Friedrich; Trunk, Carsten:
The numerical range of non-negative operators in Krein spaces
#!ilm_mods_00038445!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M12,11 (2012)
Azizov, Tomas Ya.; Trunk, Carsten:
PT symmetric, Hermitian and P-self-adjoint operators related to potentials in PT quantum mechanics
#!ilm_mods_00036911!#
In: Journal of mathematical physics / American Institute of Physics, vol. 53 (2012), no. 1
DOI: https://doi.org/10.1063/1.3677368
Möws, Roland:
On similarity of indefinite Sturm-Liouville operators
#!ilm_mods_00037279!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 12 (2012), no. 1, pp. 771–772
[83. Annual meeting of the International Association of Applied Mathematics and Mechanics (Darmstadt, 26.-30.03.2012)]
DOI: https://doi.org/10.1002/pamm.201210374
Arendt, Wolfgang; Ball, Joseph A.; Behrndt, Jussi; Förster, Karl-Heinz; Mehrmann, Volker; Trunk, Carsten (eds.):
Spectral theory, mathematical system theory, evolution equations, differential and difference equations: 21st International Workshop on Operator Theory and Applications, Berlin, July 2010
#!ilm_mods_00037409!#
Basel : Birkhäuser, 2012. - ISBN 978-3-0348-0786-9
[21. International Workshop on Operator Theory and Applications (Berlin, 12.-16.07.2010), 21. IWOTA (Berlin, 12.-16.07.2010)]
(Operator theory: advances and applications ; 221)
DOI: https://doi.org/10.1007/978-3-0348-0297-0
Kuzhel, Sergii; Trunk, Carsten:
On a class of J-self-adjoint operators with empty resolvent set
#!ilm_mods_00000719!#
In: Journal of mathematical analysis and applications, vol. 379 (2011), no. 1, pp. 272–289
DOI: https://doi.org/10.1016/j.jmaa.2010.12.048
Philipp, Friedrich; Szafraniec, Franciszek Hugon; Trunk, Carsten:
Selfadjoint operators in S-spaces
#!ilm_mods_00038521!#
In: Journal of functional analysis, vol. 260 (2011), no. 4, pp. 1045–1059
DOI: https://doi.org/10.1016/j.jfa.2010.10.023
Philipp, Friedrich; Ran, André C.M.; Wojtylak, Michał:
Local definitizability of T[*]T and TT[*]
#!ilm_mods_00038660!#
In: Integral equations and operator theory: IEOT, vol. 71 (2011), no. 4, pp. 491–508
DOI: https://doi.org/10.1007/s00020-011-1913-0
Hennig, Eckhard; Krauße, Dominik; Schäfer, Eric; Sommer, Ralf; Trunk, Carsten; Winkler, Henrik:
Frequency compensation for a class of DAE’s arising in electrical circuits
#!ilm_mods_00038802!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 11 (2011), no. 1, pp. 837–838
[82. Annual meeting of the International Association of Applied Mathematics and Mechanics (Graz, 18.-21.04.2011)]
DOI: https://doi.org/10.1002/pamm.201110407
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
A perturbation approach to differential operators with indefinite weights
#!ilm_mods_00040107!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,08 (2011)
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
#!ilm_mods_00040129!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,01 (2011)
Azizov, Tomas Ya.; Trunk, Carsten:
PT symmetric, hermitian and P-self-adjoint operators related to potentials in PT quantum mechanics
#!ilm_mods_00040065!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,15 (2011)
Hennig, Eckhard; Krauße, Dominik; Schäfer, Eric; Sommer, Ralf; Trunk, Carsten; Winkler, Henrik:
Frequency compensation for a class of DAE’s arising in electrical circuits
#!ilm_mods_00040089!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M11,11 (2011)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Spectral points of definite type and type π for linear operators and relations in Krein spaces
#!ilm_mods_00038542!#
In: Journal of the London Mathematical Society, vol. 83 (2011), no. 3, pp. 768–788
DOI: https://doi.org/10.1112/jlms/jdq098
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
#!ilm_mods_00038716!#
In: Journal of spectral theory, vol. 1 (2011), no. 3, pp. 327–347
DOI: https://doi.org/10.4171/JST/14
Behrndt, Jussi; Förster, Karl-Heinz; Trunk, Carsten (eds.):
Recent advances in operator theory in Hilbert and Krein spaces: [7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, which was held at the Technische Universität Berlin, Germany, December 13 to 16, 2007]
#!ilm_mods_00041689!#
Basel : Birkhäuser, 2010. - ISBN 978-3-0346-0179-5
[7. Workshop on Operator Theory in Krein Spaces and Spectral Analysis (Berlin, 13.-16.12.2007)]
(Operator theory: advances and applications ; 198)
URL: https://link.springer.com/bookseries/4850
Trunk, Carsten:
Analyticity of semigroups related to a class of block operator matrices
#!ilm_mods_00042736!#
In: Operator algebras, operator theory and applications: 18th International Workshop on Operator Theory and Applications, Potchefstroom, July 2007 (ISBN 978-3-0346-0174-0), (2010), pp. 257–271
Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten:
Hyponormal and strongly hyponormal matrices in inner product spaces
#!ilm_mods_00041400!#
In: Linear algebra and its applications: LAA, vol. 433 (2010), no. 6, pp. 1055–1076
DOI: https://doi.org/10.1016/j.laa.2010.04.050
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten:
Small perturbations of selfadjoint and unitary operators in Krein spaces
#!ilm_mods_00041366!#
In: Journal of operator theory, vol. 64 (2010), no. 2, pp. 401–416
URL: https://ezb.ur.de/?2043904-0
Azizov, Tomas Ya.; Trunk, Carsten:
On domains of PT symmetric operators related to -y”(x) + (-1) n x 2n y(x)
#!ilm_mods_00041492!#
In: Journal of physics A: Mathematical and theoretical, vol. 43 (2010), no. 17, art. 175303
DOI: https://doi.org/10.1088/1751-8113/43/17/175303
Behrndt, Jussi; Philipp, Friedrich:
Spectral analysis of singular ordinary differential operators with indefinite weights
#!ilm_mods_00041528!#
In: Journal of differential equations, vol. 248 (2010), no. 8, pp. 2015–2037
DOI: https://doi.org/10.1016/j.jde.2009.11.026
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten:
On the negative squares of a class of self-adjoint extensions in Krein spaces
#!ilm_mods_00042961!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,16 (2010)
Kuzhel, Sergii; Trunk, Carsten:
On a class of J-self-adjoint operators with empty resolvent set
#!ilm_mods_00042954!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,11 (2010)
Philipp, Friedrich; Strauss, Vladimir A.; Trunk, Carsten:
Local spectral theory for normal operators in Krein spaces
#!ilm_mods_00042953!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,09 (2010)
Trunk, Carsten:
Spectral theory for second order systems and indefinite Sturm-Liouville problems
#!ilm_mods_00042948!#
Ilmenau, 2010
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Non-real eigenvalues of singular indefinite Sturm-Liouville operators
#!ilm_mods_00044211!#
In: Proceedings of the American Mathematical Society, vol. 137 (2009), no. 11, pp. 3797–3806
DOI: https://doi.org/10.1090/S0002-9939-09-09964-X
Behrndt, Jussi; Möws, Roland; Trunk, Carsten:
Singular indefinite Sturm-Liouville operators with a spectral gap
#!ilm_mods_00044867!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 9 (2009), no. 1, pp. 669–670
[80. Annual meeting of the International Association of Applied Mathematics and Mechanics (Gdańsk, 09.-13.02.2009)]
DOI: https://doi.org/10.1002/pamm.200910304
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
Definitizability of a class of J-selfadjoint operators with applications
#!ilm_mods_00044868!#
In: Proceedings in applied mathematics and mechanics: PAMM, vol. 9 (2009), no. 1, pp. 665–666
[80. Annual meeting of the International Association of Applied Mathematics and Mechanics (Gdańsk, 09.-13.02.2009)]
DOI: https://doi.org/10.1002/pamm.200910302
Azizov, Tomas Ya.; Trunk, Carsten:
On domains of PT symmetric operators related to -y”(x) + (-1) n x 2n y(x)
#!ilm_mods_00045672!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M09,30 (2009)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
#!ilm_mods_00044307!#
In: Integral equations and operator theory: IEOT, vol. 63 (2009), no. 2, pp. 151–163
DOI: https://doi.org/10.1007/s00020-008-1650-1
Philipp, Friedrich; Szafraniec, Franciszek Hugon; Trunk, Carsten:
Selfadjoint operators in S-spaces
#!ilm_mods_00064398!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M10,03 (2009)
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On domains of powers of linear operators and finite rank perturbations
#!ilm_mods_00044915!#
In: Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 (ISBN 978-3-7643-8911-6), (2009), pp. 31–36
Philipp, Friedrich; Trunk, Carsten:
G-self-adjoint operators in Almost Pontryagin spaces
#!ilm_mods_00044916!#
In: Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 (ISBN 978-3-7643-8911-6), (2009), pp. 207–235
Behrndt, Jussi; Förster, Karl-Heinz; Langer, Heinz; Trunk, Carsten (eds.):
Spectral theory in inner product spaces and applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006
#!ilm_mods_00044527!#
Basel : Birkhäuser, 2009. - ISBN 978-3-7643-8911-6
[6. Workshop on Operator Theory in Krein Spaces and Operator Polynomials (Berlin, 14.-17.12.2006)]
(Operator theory: advances and applications ; 188)
URL: https://link.springer.com/bookseries/4850
Karabash, Illya; Trunk, Carsten:
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
#!ilm_mods_00044283!#
In: Royal Society of Edinburgh: Proceedings, vol. 139 (2009), no. 3, pp. 483–503
DOI: https://doi.org/10.1017/S0308210507000686
Jacob, Birgit; Trunk, Carsten:
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics
#!ilm_mods_00044219!#
In: Semigroup forum : SMGFAN, vol. 79 (2009), no. 1, pp. 79–100
DOI: https://doi.org/10.1007/s00233-009-9148-y
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten:
On finite rank perturbations of definitizable operators
#!ilm_mods_00000721!#
In: Journal of mathematical analysis and applications, vol. 339 (2008), no. 2, pp. 1161–1168
DOI: https://doi.org/10.1016/j.jmaa.2007.07.016
Trunk, Carsten:
Spectral theory for operator matrices related to models in mechanics
#!ilm_mods_00046957!#
In: Mathematical notes, vol. 83 (2008), no. 5/6, pp. 843–850
DOI: https://doi.org/10.1134/S0001434608050295
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika:
Analyticity and Riesz basis property of semigroups associated to damped vibrations
#!ilm_mods_00046863!#
In: Journal of evolution equations: JEE, vol. 8 (2008), no. 2, pp. 263–281
DOI: https://doi.org/10.1007/s00028-007-0351-6
Strauss, Vladimir A.; Trunk, Carsten:
Spectralizable operators
#!ilm_mods_00046890!#
In: Integral equations and operator theory: IEOT, vol. 61 (2008), no. 3, pp. 413–422
DOI: https://doi.org/10.1007/s00020-008-1585-6
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten:
Small perturbation of selfadjoint and unitary operators in Krein spaces
#!ilm_mods_00048175!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,03 (2008)
Philipp, Friedrich; Trunk, Carsten:
G-selfadjoint operators in Almost Pontryagin spaces
#!ilm_mods_00048170!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,08 (2008)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Spectral points of definite type and type π for linear operators and relations in Krein spaces
#!ilm_mods_00048166!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,12 (2008)
Trunk, Carsten:
Analyticity of semigroups related to a class of block operator matrices
#!ilm_mods_00048163!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,15 (2008)
Jacob, Birgit; Trunk, Carsten:
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics
#!ilm_mods_00048159!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,19 (2008)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Non-real eigenvalues of singular indefinite Sturm-Liouville operators
#!ilm_mods_00048154!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M08,28 (2008)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators
#!ilm_mods_00046751!#
In: Journal of physics A: Mathematical and theoretical, vol. 41 (2008), no. 24, art. 244003
DOI: https://doi.org/10.1088/1751-8113/41/24/244003
Jacob, Birgit; Morris, Kirsten; Trunk, Carsten:
Minimum-phase infinite-dimensional second-order systems
#!ilm_mods_00049236!#
In: IEEE transactions on automatic control, vol. 52 (2007), no. 9, pp. 1654–1665
DOI: https://doi.org/10.1109/TAC.2007.904471
Jonas, Peter; Trunk, Carsten:
A Sturm-Liouville problem depending rationally on the eigenvalue parameter
#!ilm_mods_00049135!#
In: Mathematische Nachrichten, vol. 280 (2007), no. 15, pp. 1709–1726
DOI: https://doi.org/10.1002/mana.200510573
Trunk, Carsten:
Spectral theory for operator matrices related to models in mechanics
#!ilm_mods_00050158!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,20 (2007)
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten:
On domains of powers of linear operators and finite rank perturbations
#!ilm_mods_00050159!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,21 (2007)
Strauss, Vladimir A.; Trunk, Carsten:
Some Sobolev spaces as Pontryagin spaces
#!ilm_mods_00050156!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,17 (2007)
Trunk, Carsten:
Perturbation theory for self-adjoint operators in Krein spaces
#!ilm_mods_00050157!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,18 (2007)
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika:
Analyticity and Riesz basis property of semigroups associated to damped vibrations
#!ilm_mods_00050166!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,19 (2007)
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten:
Compact and finite rank perturbations of linear relations in Hilbert spaces
#!ilm_mods_00050163!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,25 (2007)
Karabash, Illya; Trunk, Carsten:
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
#!ilm_mods_00050161!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,23 (2007)
Strauss, Vladimir A.; Trunk, Carsten:
Spectralizable operators
#!ilm_mods_00050162!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,24 (2007)
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten:
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators
#!ilm_mods_00050160!#
In: Preprint / Technische Universität Ilmenau, Institut für Mathematik, vol. M07,22 (2007)
