Publikationen

Projektrelevante Publikationen Carsten Trunk, Juni 2022

• Thomas Berger, Henk de Snoo, Carsten Trunk and Henrik Winkler
  A Jordan-Like decomposition for linear Relations in finite-dimensional spaces
• Hannes Gernandt and Carsten Trunk
  Eigenvalues of parametric rank one perturbations of matrix pencils
• C. Trunk mit J. Behrndt, P- Schmitz und G. Teschl,
  Relative oscillation theory and essential spectra of Sturm–Liouville operators, eingereicht, arXiv:2203.08938 (2022).
• C. Trunk mit H. Gernandt, F.M. Mart´ınez Per´ıa und F. Philipp,
  On characteristic invariants of matrix pencils and linear relations,
  eingereicht, eingereicht, arXiv:2203.08296 (2022).
• C. Trunk mit B. ´Curgus und V. Derkach, Indefinite Sturm-Liouville operators in polar form,
  eingereicht, arXiv:2101.00104 (2021).
• C. Trunk mit J. Behrndt, P- Schmitz und G. Teschl, Perturbations of periodic Sturm–Liouville operators,
  eingereicht, arXiv:2105.13186 (2021).

Carsten Trunk mit H. Gernandt, The spectrum and the Weyr characteristics of operator pencils and linear relations,
Syphax Journal of Mathematics: Nonlinear Analysis, Operator and Systems 73 (2021), 73–89.

Carsten Trunk mit V. Derkach und P. Schmitz, PT -symmetric Hamiltonians as couplings of dual pairs, in
Contributions to Mathematics and Statistics: Essays in honor of Seppo Hassi (Hrsg. H.S.V de Snoo and
H.L. Wietsma), Acta Wasaensia 462 (2021), 55-68.

Carsten Trunk mit D.B. J. van Rensburg, M. van Straaten und F. Theron, Square roots of H-nonnegative matrices,
Linear Algebra Appl. 621 (2021), 29-49.

Branko Curgus, Volodymyr Derkach, Carsten Trunk,
Indefinite Sturm-Liouville operators in polar form,
submitted.
 

Thomas Berger, Henk de Snoo, Carsten Trunk, Henrik Winkler,
Linear relations and their singular chains,
submitted.

Janse van Rensburg, Madelein van Straaten, Frieda Theron, Carsten Trunk,
Square roots of H-nonnegative matrices,
to appear in Linear Algebra Appl.
 

Juan Giribet, Matthias Langer, Francisco Martinez Peria, Friedrich Philipp, and Carsten Trunk
Spectral enclosures for a class of  block operator matrices;
J. Funct. Anal. 278 (2020).
 

Hannes Gernandt Nedra Moalla, Friedrich Philipp, Wafa Selmi, Carsten Trunk
Invariance of the essential spectra of operator pencils;
Oper. Theory Adv. Appl. 278 (2020), 203-219.
 

Florian Leben, Carsten Trunk
Operator based approach to PT-symmetric problems on a wedge-shaped contour;
 Quantum Stud.: Math. Found. 6 (2019), 315-333. view online version
 

Junjie Huang, Junfeng Sun, Alatancang Chen, Carsten Trunk
The invertibility of 2x2 operator matrices; pdf-file
Math. Nachr. 292 (2019), 2411–2426.
 

Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials;
J. Differential Equations 267 (2019), 468-493.
 

Thomas Berger, Juan Giribet, Francisco Martinez Peria und Carsten Trunk
On a class of non-Hermitian matrices with positive definite Schur complements;
Proc. Amer. Math. Soc. 147 (2019), 2375-2388.

Leslie Leben, Francisco Martinez Peria, Friedrich Philipp, Carsten Trunk and Henrik Winkler
Finite rank perturbations of linear relations and singular matrix pencils;
Complex Anal. Oper. Theory, DOI: doi.org/10.1007/s11785-021-01082-x

Hannes Gernandt, and Carsten Trunk
Locally finite extensions and Gesztesy-Seba realizations for the Dirac operator on a metric graph
submitted.
 

Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, and Michał Wojtylak
The gap distance to the set of singular matrix pencils,
Linear Algebra Appl. 564 (2019), 28-57.
 

Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
Spectral bounds for singular indefinite Sturm-Liouville operators with L^1-potentials;
Proc. Amer. Math. Soc. 146 (2018), 3935-3942;
 

Birgit Jacob, Christiane Tretter, Carsten Trunk, Hendrik Vogt,
Systems with strong damping and their spectra;
Math. Methods Appl. Sci. 41 (2018), 6546-6573.
 

Juan Giribet, Matthias Langer, Leslie Leben, Alejandra Maestripieri, Francisco Martinez Peria, Carsten Trunk
Spectrum of J-frame Operators, Opusc. Math. 38 (2018) 623-649;
 

Vladimir Derkach, Carsten Trunk,
Coupling of Definitizable Operators in Krein Spaces;
NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS 8 (2017) 166–179;
 

Andrei .A. Shkalikov, C. Trunk
On stability of closeness and self-adjointness for 2x2 operator matrices,
Math. Notes 100 (2016), 870-875;
 

Jussi Behrndt, Roland Möws, Carsten Trunk
Eigenvalue estimates for operators with finitely many negative squares; pdf-file
Opusc. Math. 36 (2016), 717-734;
 

Hannes Gernandt, Carsten Trunk
Eigenvalue placement for regular matrix pencils with rank one perturbations; pdf-file
SIAM. J. Matrix Anal. Appl. 38 (2017), 134-154 http://dx.doi.org/10.1137/16M1066877;
 

Thomas Berger, Carsten Trunk, Henrik Winkler
Linear relations and the Kronecker canonical form; pdf-file
Linear Algebra Appl. 488 (2016), 13-44;
 

Birgit Jacob, Matthias Langer, Carsten Trunk
Variational principles for self-adjoint operator functions arising from second-order systems; pdf-file
Operators and Matrices 10 (2016), 501-531;

Jussi Behrndt, Leslie Leben, Francisco Martinez Peria, Carsten Trunk
The effect of finite rank perturbations on Jordan chains of linear operators;pdf-file
Linear Algebra Appl. Vol. 479 (2015), 118-130;

Achim Ilchmann, Tilman Selig, Carsten Trunk
The Byrnes-Isidori form for infinite-dimensional systems; pdf-file
SIAM J. on Control Optim. Vol. 54 (2016), 1504-1534;
 

Jussi Behrndt, Leslie Leben, Francisco Martinez Peria, Roland Möws, Carsten Trunk
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces; [pdf-file]
J.  Math.  Anal.  Appl.  Vol. 439 (2016), 864-895;
 

Friedrich Philipp, Carsten Trunk
Spectral points of type pi_+ and type pi_- of closed operators in indefinite inner product spaces; [pdf-file]
Operators and Matrices Vol. 9 (2015), 481-506;
 

Jussi Behrndt, Roland Möws, Carsten Trunk
On finite Rank Perturbations of Selfadjoint Operators in Krein Spaces and Eigenvalues in Spectral Gaps;[pdf-file]
Complex Anal. Oper. Theory Vol. 8 (2013), 925-936;
 

Jussi Behrndt, Friedrich Philipp, Carsten Trunk 
  Bounds on the non-real spectrum of differential operators with indefinite weights;[pdf-file]
Math. Ann. Vol. 357 (2013), 185-213;
 

Jussi Behrndt, Annemarie Luger, Carsten Trunk 
 On the negative squares of a class of self-adjoint extensions in Krein spaces; [pdf-file] 
Math. Nachr. Vol. 286 (2013), 118-148;
 

Friedrich Philipp, Carsten Trunk
The numerical range of non-negative operators in Krein spaces;[pdf-file]
Linear Algebra Appl. Vol. 438 (2013),  2542–2556;
 

Friedrich Philipp, Vladimir Strauss, Carsten Trunk
 Local spectral theory for normal operators in Krein spaces; [pdf-file]
Math. Nachr. Vol. 286 (2013), 32-58;
 

Tomas Azizov, Carsten Trunk
PT Symmetric, Hermitian and P-Self-Adjoint operators related to potentials in PT Quantum Mechanics; [pdf-file]
J. Math. Phys. Vol. 53 (2012), 012109;
 

Jussi Behrndt, Roland Möws, Carsten Trunk 
 Eigenvalue estimates for singular left-definite Sturm-Liouville operators; [pdf-file] 
J. Spectr. Theory Vol. 1 (2011), 327-347;
 

Sergii Kuzhel, Carsten Trunk
On a class of J-self-adjoint operators with empty resolvent set; [pdf-file]
J. Math. Anal. Appl. Vol. 379 (2011), 272–289;
 

Friedrich Philipp, Franciszek Hugon Szafraniec, Carsten Trunk
 Selfadjoint operators in S-Spaces; [pdf-file]
J. Funct. Anal. Vol. 260 (2011), 1045-1059; 
 

Tomas Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
Spectral points of definite type and type pi for linear operators and relations in Krein spaces; [pdf-file] 
J. London Math. Soc. Vol. 83 (2011), 768-–788.
 

Tomas Azizov, Peter Jonas, Carsten Trunk
Small perturbation of selfadjoint and unitary operators in Krein spaces; [pdf-file]
J. Operator Theory Vol. 64 (2010), 401-416; 
 

Tomas Azizov, Carsten Trunk
On domains of PT Symmetric operators related to -y''(x) + (-1)^n x^{2n}y(x); [pdf-file]
 J. Phys. A: Math. Theor. Vol. 43 (2010), 175303 
 

Mark-Alexander Henn, Christian Mehl, Carsten Trunk
 Hyponormal and strongly Hyponormal matrices in Inner Product Spaces;
Linear Algebra Appl. Vol. 433 (2010), 1055-1076; [pdf-file] 
 

 Carsten Trunk 
 Analyticity of semigroups related to a class of block operator matrices; [pdf-file]  
 Operator Theory: Advances and Applications Vol. 195 (2009), 257-271. 
 

Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk 
 Non-Real eigenvalues of singular indefinite Sturm-Liouville operators;
 Proc. Amer. Math. Soc. Vol. 137 (2009), 3797-3806; [pdf-file]  
 

Birgit Jacob, Carsten Trunk 
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics; [pdf-file]
Semigroup Forum Vol. 79 (2009), 79-100.
 

Friedrich Philipp, Carsten Trunk 
G-Selfadjoint operators in Almost Pontryagin spaces; [pdf-file]
Operator Theory: Advances and Applications Vol. 188 (2009) 207-236. 
 

Tomas Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
Compact and finite rank perturbations of linear relations in Hilbert spaces; [pdf-file]
Integral Equations Operator Theory Vol. 63 (2009) 151-163. 
 

Tomas Azizov, Jussi Behrndt, Friedrich Philipp, Carsten Trunk
 On domains of powers of linear operators and finite rank perturbations; [pdf-file]
 Operator Theory: Advances and Applications Vol. 188 (2009), 31-36.
 

Illya Karabash, Carsten Trunk
 Spectral properties of singular Sturm-Liouville operators; [pdf-file]
 Proc. R. Soc. Edinb. Sect. A. Vol. 139 (2009), 483-503.
 

Vladimir Strauss, Carsten Trunk
 Spectralizable operators; [pdf-file]
 Integral Equations Operator Theory Vol. 61 (2008) 413-422.
 

Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
 Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators; [pdf-file]
J. Phys. A: Math. Theor. Vol. 41 (2008) 244003.
 

Birgit Jacob, Carsten Trunk, Monika Winklmeier
Analyticity and Riesz basis property of semigroups associated to damped vibrations;
 Journal of Evolution Equations Vol. 8 (2008), 263-281.
 

Carsten Trunk
 Spectral theory for operator matrices related to models in mechanics;
 Math. Notes, Vol. 83 (2008), 843-850.
 

Tomas Azizov, Jussi Behrndt, Carsten Trunk
 On finite rank perturbations of definitizable operators;
 J. Math. Anal. Appl. Vol. 339 (2008), 1161-1168. 
 

Birgit Jacob, Kirsten Morris, Carsten Trunk 
 Minimum-Phase infinite-dimensional second-order systems;
 IEEE Transactions on Automatic Control Vol. 52 (2007), 1654-1665.
 

Peter Jonas, Carsten Trunk
 A Sturm-Liouville problem depending rationally on the eigenvalue parameter;
 Math. Nachr. Vol. 280 (2007), 1709-1726.
 

Jussi Behrndt, Carsten Trunk
 On the negative squares of indefinite Sturm-Liouville operators;
 J. Differential Equations, Vol. 238 (2007), 491-519; 
 

Birgit Jacob, Carsten Trunk
 Location of the spectrum of operator matrices which are associated to second order equations;
 Operators and Matrices, Vol. 1 (2007), 45-60;
 

Christian Mehl, Carsten Trunk
 The adjoint of matrices in degenerate indefinite inner product spaces;
 Operator Theory: Advances and Applications Vol. 175 (2007), 193-209; 
 

Jussi Behrndt, Annemarie Luger, Carsten Trunk
 Generalized resolvents of a class of symmetric operators in Krein spaces.
 Operator Theory: Advances and Applications Vol. 175 (2007), 13-33;
 

Jussi Behrndt, Friedrich Philipp, Carsten Trunk
 Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein spaces;
 Methods Funct. Anal. Topology Vol. 12 (2006), 326-340; 
 

Jussi Behrndt, Carsten Trunk
 Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions;
 J. Differential Equations Vol. 222 (2006), 297-324; 
 

 Tomas Ya. Azizov, Peter Jonas, Carsten Trunk
 Spectral points of type $pi_{+}$ and $pi_{-}$ of self-adjoint operators in Krein spaces.
 J. Funct. Anal. Vol. 226 (2005), 114-137; 
 

 Peter Jonas, Carsten Trunk
 On a class of analytic operator functions and their linearizations.
 Math. Nachr. Vol. 243 (2002), 92-133. 

Publications

Refereed Publications

J. Behrndt, P. Schmitz, C. Trunk, Spectral bounds for indefinite singular Sturm–Liouville operators with uniformly locally integrable potentials. J. Differ. Equations 267 (2019), 468–493. Preprint

J. Behrndt, P. Schmitz, C. Trunk, Spectral bounds for singular indefinite Sturm–Liouville operators with L1 -potentials. Proc. Am. Math. Soc. 146 (2018), 3935–3942. Preprint

Conference Papers

J. Behrndt, P. Schmitz, C. Trunk, The non‐real spectrum of a singular indefinite Sturm–Liouville operator with regular left endpoint, Proc. appl. Math. Mech. 19 (2019). Preprint

J. Behrndt, B. Gsell, P. Schmitz, C. Trunk, An estimate on the non-real spectrum of a singular indefinite Sturm–Liouville operator, Proc. appl. Math. Mech. 17 (2017), 859–860. Preprint

J. Behrndt, P. Schmitz, C. Trunk, Bounds on the non-real spectrum of a singular indefinite Sturm–Liouville operator on R, Proc. appl. Math. Mech. 16 (2016), 881–882. Preprint

Publikationen