INHALTE
Refereed Publications
Refereed Publications
- Florian Leben, Carsten Trunk
Operator based approach to PT-symmetric problems on a wedge-shaped contour;
eingereicht; - Junjie Huang, Junfeng Sun, Alatancang Chen, Carsten Trunk
The invertibility of 2x2 operator matrices; pdf-file
erscheint in Math. Nachr.;
- Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials;
eingereicht - Thomas Berger, Juan Giribet, Francisco Martinez Peria und Carsten Trunk
On a class of non-Hermitian matrices with positive definite Schur complements;
to appear in Proc. Amer. Math. Soc. - Leslie Leben, Francisco Martinez Peria, Friedrich Philipp, Carsten Trunk and Henrik Winkler
Finite rank perturbations of linear relations and singular matrix pencils;
eingereicht - Hannes Gernandt, and Carsten Trunk
Locally finite extensions and Gesztesy-Seba realizations for the Dirac operator on a metric graph
eingereicht - 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), 134-154http://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.