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Author ID: trunk.carsten Recent zbMATH articles by "Trunk, Carsten"
Published as: Trunk, Carsten; Trunk, C.
Documents Indexed: 63 Publications since 2002, including 1 Book
5 Contributions as Editor
Reviewing Activity: 48 Reviews
Co-Authors: 42 Co-Authors with 62 Joint Publications
1,084 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 286 times in 138 Documents Cited by Year
On the negative squares of indefinite Sturm–Liouville operators. Zbl 1123.47033
Behrndt, Jussi; Trunk, Carsten
19
2007
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces. Zbl 1194.47016
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten
17
2009
Bounds on the non-real spectrum of differential operators with indefinite weights. Zbl 1281.47024
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
17
2013
Non-real eigenvalues of singular indefinite Sturm-Liouville operators. Zbl 1182.47036
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
16
2009
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn \(x\). Zbl 1189.34159
Karabash, Illya; Trunk, Carsten
14
2009
Spectral points of definite type and type \(\pi \) for linear operators and relations in Krein spaces. Zbl 1220.47052
Azizov, T. Ya.; Behrndt, J.; Jonas, P.; Trunk, C.
13
2011
Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces. Zbl 1088.47031
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten
12
2005
Minimum-phase infinite-dimensional second-order systems. Zbl 1366.93277
Jacob, Birgit; Morris, Kirsten; Trunk, Carsten
11
2007
Eigenvalue placement for regular matrix pencils with rank one perturbations. Zbl 1365.15016
Gernandt, Hannes; Trunk, Carsten
10
2017
Sturm–Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. Zbl 1099.34018
Behrndt, Jussi; Trunk, Carsten
10
2006
Analyticity and Riesz basis property of semigroups associated to damped vibrations. Zbl 1156.47038
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika
10
2008
On finite rank perturbations of definitizable operators. Zbl 1127.47034
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten
8
2008
Linear relations and the Kronecker canonical form. Zbl 1327.15021
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
8
2016
On a class of \(J\)-self-adjoint operators with empty resolvent set. Zbl 1220.47053
Kuzhel, Sergii; Trunk, Carsten
7
2011
Location of the spectrum of operator matrices which are associated to second order equations. Zbl 1128.47003
Jacob, Birgit; Trunk, Carsten
7
2007
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. Zbl 1348.47009
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
6
2014
On a class of analytic operator functions and their linearizations. Zbl 1049.47008
Jonas, Peter; Trunk, Carsten
6
2002
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics. Zbl 1175.47036
Jacob, Birgit; Trunk, Carsten
6
2009
The Byrnes-Isidori form for infinite-dimensional systems. Zbl 1339.93032
Ilchmann, Achim; Selig, Tilman; Trunk, Carsten
6
2016
Eigenvalue estimates for singular left-definite Sturm-Liouville operators. Zbl 1235.34225
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
5
2011
On the negative squares of a class of self-adjoint extensions in Krein spaces. Zbl 1275.47084
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
5
2013
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators. Zbl 1140.81375
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
5
2008
Spectral bounds for singular indefinite Sturm-Liouville operators with \(L^1\)-potentials. Zbl 1396.34052
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
5
2018
Generalized resolvents of a class of symmetric operators in Krein spaces. Zbl 1138.47030
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
4
2007
Properties of the spectrum of type \(\pi_+\) and type \(\pi_-\) of self-adjoint operators in Krein spaces. Zbl 1118.47028
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
4
2006
On domains of \({\mathcal {PT}}\) symmetric operators related to \(-y''(x)+(-1)^nx^{2n}y(x)\). Zbl 1188.81057
Azizov, Tomas Ya; Trunk, Carsten
4
2010
The effect of finite rank perturbations on Jordan chains of linear operators. Zbl 1412.47007
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten
4
2015
A Sturm–Liouville problem depending rationally on the eigenvalue parameter. Zbl 1139.47037
Jonas, Peter; Trunk, Carsten
4
2007
On domains of powers of linear operators and finite rank perturbations. Zbl 1177.47004
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
4
2009
\(G\)-self-adjoint operators in almost Pontryagin spaces. Zbl 1179.47037
Philipp, Friedrich; Trunk, Carsten
4
2009
Spectrum of \(J\)-frame operators. Zbl 06976043
Giribet, Juan; Langer, Matthias; Leben, Leslie; Maestripieri, Alejandra; Pería, Francisco Martínez; Trunk, Carsten
3
2018
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. Zbl 1416.34019
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
3
2019
Normal matrices in degenerate indefinite inner product spaces. Zbl 1123.15017
Mehl, Christian; Trunk, Carsten
3
2007
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. Zbl 1341.47045
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten
3
2016
Analyticity of semigroups related to a class of block operator matrices. Zbl 1206.47036
Trunk, Carsten
2
2010
Hyponormal and strongly hyponormal matrices in inner product spaces. Zbl 1205.15053
Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten
2
2010
Local spectral theory for normal operators in Krein spaces. Zbl 1270.47034
Philipp, F.; Strauss, V.; Trunk, C.
2
2013
Spectral theory for operator matrices related to models in mechanics. Zbl 1169.47005
Trunk, C.
2
2008
\({\mathcal {PT}}\) symmetric, Hermitian and \(\mathcal{P}\)-self-adjoint operators related to potentials in \({\mathcal {PT}}\) quantum mechanics. Zbl 1273.81059
Azizov, Tomas Ya.; Trunk, Carsten
2
2012
Invariance of the essential spectra of operator pencils. Zbl 07299680
Gernandt, H.; Moalla, N.; Philipp, F.; Selmi, W.; Trunk, C.
2
2020
Square roots of \(H\)-nonnegative matrices. Zbl 1465.15011
Janse van Rensburg, D. B.; van Straaten, M.; Theron, F.; Trunk, C.
2
2021
The gap distance to the set of singular matrix pencils. Zbl 1414.15016
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał
1
2019
Invertibility of \(2 \times 2\) operator matrices. Zbl 07150863
Huang, Junjie; Sun, Junfeng; Chen, Alatancang; Trunk, Carsten
1
2019
Spectral points of type \(\pi_{+}\) and type \(\pi_{-}\) of closed operators in indefinite inner product spaces. Zbl 1448.47012
Philipp, Friedrich; Trunk, Carsten
1
2015
Locally definitizable operators: the local structure of the spectrum. Zbl 1422.47046
Trunk, Carsten
1
2015
Spectral properties of a class of analytic operator functions and their linearizations. Zbl 1092.47500
Trunk, Carsten
1
2003
Small perturbations of selfadjoint and unitary operators in Krein spaces. Zbl 1217.47030
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten
1
2010
Variational principles for self-adjoint operator functions arising from second-order systems. Zbl 1356.47019
Jacob, Birgit; Langer, Matthias; Trunk, Carsten
1
2016
On generalized resolvents of symmetric operators of defect one with finitely many negative squares. Zbl 1107.47025
Behrndt, Jussi; Trunk, Carsten
1
2005
Spectralizable operators. Zbl 1160.47030
Strauss, Vladimir A.; Trunk, Carsten
1
2008
Square roots of \(H\)-nonnegative matrices. Zbl 1465.15011
Janse van Rensburg, D. B.; van Straaten, M.; Theron, F.; Trunk, C.
2
2021
Invariance of the essential spectra of operator pencils. Zbl 07299680
Gernandt, H.; Moalla, N.; Philipp, F.; Selmi, W.; Trunk, C.
2
2020
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. Zbl 1416.34019
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
3
2019
The gap distance to the set of singular matrix pencils. Zbl 1414.15016
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał
1
2019
Invertibility of \(2 \times 2\) operator matrices. Zbl 07150863
Huang, Junjie; Sun, Junfeng; Chen, Alatancang; Trunk, Carsten
1
2019
Spectral bounds for singular indefinite Sturm-Liouville operators with \(L^1\)-potentials. Zbl 1396.34052
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
5
2018
Spectrum of \(J\)-frame operators. Zbl 06976043
Giribet, Juan; Langer, Matthias; Leben, Leslie; Maestripieri, Alejandra; Pería, Francisco Martínez; Trunk, Carsten
3
2018
Eigenvalue placement for regular matrix pencils with rank one perturbations. Zbl 1365.15016
Gernandt, Hannes; Trunk, Carsten
10
2017
Linear relations and the Kronecker canonical form. Zbl 1327.15021
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
8
2016
The Byrnes-Isidori form for infinite-dimensional systems. Zbl 1339.93032
Ilchmann, Achim; Selig, Tilman; Trunk, Carsten
6
2016
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. Zbl 1341.47045
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten
3
2016
Variational principles for self-adjoint operator functions arising from second-order systems. Zbl 1356.47019
Jacob, Birgit; Langer, Matthias; Trunk, Carsten
1
2016
The effect of finite rank perturbations on Jordan chains of linear operators. Zbl 1412.47007
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten
4
2015
Spectral points of type \(\pi_{+}\) and type \(\pi_{-}\) of closed operators in indefinite inner product spaces. Zbl 1448.47012
Philipp, Friedrich; Trunk, Carsten
1
2015
Locally definitizable operators: the local structure of the spectrum. Zbl 1422.47046
Trunk, Carsten
1
2015
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. Zbl 1348.47009
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
6
2014
Bounds on the non-real spectrum of differential operators with indefinite weights. Zbl 1281.47024
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
17
2013
On the negative squares of a class of self-adjoint extensions in Krein spaces. Zbl 1275.47084
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
5
2013
Local spectral theory for normal operators in Krein spaces. Zbl 1270.47034
Philipp, F.; Strauss, V.; Trunk, C.
2
2013
\({\mathcal {PT}}\) symmetric, Hermitian and \(\mathcal{P}\)-self-adjoint operators related to potentials in \({\mathcal {PT}}\) quantum mechanics. Zbl 1273.81059
Azizov, Tomas Ya.; Trunk, Carsten
2
2012
Spectral points of definite type and type \(\pi \) for linear operators and relations in Krein spaces. Zbl 1220.47052
Azizov, T. Ya.; Behrndt, J.; Jonas, P.; Trunk, C.
13
2011
On a class of \(J\)-self-adjoint operators with empty resolvent set. Zbl 1220.47053
Kuzhel, Sergii; Trunk, Carsten
7
2011
Eigenvalue estimates for singular left-definite Sturm-Liouville operators. Zbl 1235.34225
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
5
2011
On domains of \({\mathcal {PT}}\) symmetric operators related to \(-y''(x)+(-1)^nx^{2n}y(x)\). Zbl 1188.81057
Azizov, Tomas Ya; Trunk, Carsten
4
2010
Analyticity of semigroups related to a class of block operator matrices. Zbl 1206.47036
Trunk, Carsten
2
2010
Hyponormal and strongly hyponormal matrices in inner product spaces. Zbl 1205.15053
Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten
2
2010
Small perturbations of selfadjoint and unitary operators in Krein spaces. Zbl 1217.47030
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten
1
2010
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces. Zbl 1194.47016
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten
17
2009
Non-real eigenvalues of singular indefinite Sturm-Liouville operators. Zbl 1182.47036
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
16
2009
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn \(x\). Zbl 1189.34159
Karabash, Illya; Trunk, Carsten
14
2009
Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics. Zbl 1175.47036
Jacob, Birgit; Trunk, Carsten
6
2009
On domains of powers of linear operators and finite rank perturbations. Zbl 1177.47004
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
4
2009
\(G\)-self-adjoint operators in almost Pontryagin spaces. Zbl 1179.47037
Philipp, Friedrich; Trunk, Carsten
4
2009
Analyticity and Riesz basis property of semigroups associated to damped vibrations. Zbl 1156.47038
Jacob, Birgit; Trunk, Carsten; Winklmeier, Monika
10
2008
On finite rank perturbations of definitizable operators. Zbl 1127.47034
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten
8
2008
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators. Zbl 1140.81375
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
5
2008
Spectral theory for operator matrices related to models in mechanics. Zbl 1169.47005
Trunk, C.
2
2008
Spectralizable operators. Zbl 1160.47030
Strauss, Vladimir A.; Trunk, Carsten
1
2008
On the negative squares of indefinite Sturm–Liouville operators. Zbl 1123.47033
Behrndt, Jussi; Trunk, Carsten
19
2007
Minimum-phase infinite-dimensional second-order systems. Zbl 1366.93277
Jacob, Birgit; Morris, Kirsten; Trunk, Carsten
11
2007
Location of the spectrum of operator matrices which are associated to second order equations. Zbl 1128.47003
Jacob, Birgit; Trunk, Carsten
7
2007
Generalized resolvents of a class of symmetric operators in Krein spaces. Zbl 1138.47030
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
4
2007
A Sturm–Liouville problem depending rationally on the eigenvalue parameter. Zbl 1139.47037
Jonas, Peter; Trunk, Carsten
4
2007
Normal matrices in degenerate indefinite inner product spaces. Zbl 1123.15017
Mehl, Christian; Trunk, Carsten
3
2007
Sturm–Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. Zbl 1099.34018
Behrndt, Jussi; Trunk, Carsten
10
2006
Properties of the spectrum of type \(\pi_+\) and type \(\pi_-\) of self-adjoint operators in Krein spaces. Zbl 1118.47028
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
4
2006
Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces. Zbl 1088.47031
Azizov, Tomas Ya.; Jonas, Peter; Trunk, Carsten
12
2005
On generalized resolvents of symmetric operators of defect one with finitely many negative squares. Zbl 1107.47025
Behrndt, Jussi; Trunk, Carsten
1
2005
Spectral properties of a class of analytic operator functions and their linearizations. Zbl 1092.47500
Trunk, Carsten
1
2003
On a class of analytic operator functions and their linearizations. Zbl 1049.47008
Jonas, Peter; Trunk, Carsten
6
2002
all top 5

Cited by 158 Authors

26 Trunk, Carsten
18 Behrndt, Jussi
9 Philipp, Friedrich
6 Reis, Timo
6 Shi, Yuming
5 Baragaña, Itziar
4 Azizov, Tomas Ya.
4 Gesztesy, Fritz
4 Kuzhel, Sergei
4 Luger, Annemarie
4 Martínez Pería, Francisco D.
4 Morris, Kirsten A.
4 Möws, Roland
4 Puche, Marc
4 Qi, Jiangang
4 Roca, Alicia
4 Schwenninger, Felix L.
4 Siegl, Petr
3 Ćurgus, Branko
3 Derkach, Vladimir Alexandrovich
3 Gernandt, Hannes
3 Jacob, Birgit
3 Sun, Fu
3 Winkler, Henrik
3 Wojtylak, Michał
3 Xu, Guixin
2 Chen, Shaozhu
2 Cuenin, Jean-Claude
2 de Snoo, Hendrik S. V.
2 Dijksma, Aad
2 Dobosevych, Oles
2 Dodig, Marija
2 Giribet, Juan Ignacio
2 Guo, Bao-Zhu
2 Holden, Helge
2 Hryniv, Rostyslav O.
2 Katatbeh, Qutaibeh Deeb
2 Kikonko, Mervis
2 Kostenko, Aleksey S.
2 Krejčiřík, David
2 Langer, Matthias
2 Leben, Leslie
2 Liu, Yan
2 Malamud, Mark M.
2 Mehl, Christian
2 Mingarelli, Angelo Bernado
2 Naboko, Serguei N.
2 Rios-Cangas, Josué I.
2 Schmitz, Philipp
2 Schnaubelt, Roland
2 Selig, Tilman
2 Silva, Luis O.
2 Stošić, Marko
2 Tretter, Christiane
2 Woracek, Harald
2 Xie, Bing
2 Zhang, Guodong
2 Zwart, Hans J.
1 Abakumov, Evgeny V.
1 Albeverio, Sergio A.
1 Ammar, Aymen
1 Artamonov, N. V.
1 Astudillo, Maria
1 Baranov, Anton D.
1 Baroun, Mahmoud
1 Binding, Paul Anthony
1 Borogovac, Muhamed
1 Boudabbous, Mahdi
1 Brown, B. Malcolm
1 Cai, Jinming
1 Curtain, Ruth Frances
1 Dell’Oro, Filippo
1 Denisov, M. S.
1 Denk, Robert
1 Derevyagin, Maxim S.
1 Dmytryshyn, Andrii R.
1 Dopico, Froilán M.
1 Đorđević, Dragan S.
1 Eckhardt, Jonathan
1 Freitas, Pedro
1 Gimaltdinova, Alfira A.
1 Goldstein, Jerome Arthur
1 Gomilko, Alexandre M.
1 Haller, Frédéric Enrico
1 Hassi, Seppo
1 Hélie, Thomas
1 Henn, Mark-Alexander
1 Hrod, A. I.
1 Hussein, Amru
1 Ibrogimov, Orif O.
1 Iftime, Orest V.
1 Ilchmann, Achim
1 Jeribi, Aref
1 Jin, Zhenghong
1 Jørgensen, Palle E. T.
1 Juršėnas, Rytis
1 Kaltenbäck, Michael
1 Kamuda, Alan
1 Karabash, Illya M.
1 Kostadinov, Marko
...and 58 more Authors
all top 5

Cited in 53 Serials

16 Linear Algebra and its Applications
10 Journal of Differential Equations
8 Journal of Functional Analysis
7 Journal of Mathematical Analysis and Applications
7 Integral Equations and Operator Theory
6 Mathematische Nachrichten
6 Complex Analysis and Operator Theory
5 Automatica
5 Proceedings of the American Mathematical Society
4 Mathematical Notes
4 SIAM Journal on Matrix Analysis and Applications
3 Linear and Multilinear Algebra
3 Systems & Control Letters
3 Annals of Functional Analysis
2 Journal of Mathematical Physics
2 Ukrainian Mathematical Journal
2 Advances in Mathematics
2 Results in Mathematics
2 SIAM Journal on Control and Optimization
2 Bulletin of the Iranian Mathematical Society
2 Opuscula Mathematica
2 Journal of Spectral Theory
1 International Journal of Control
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Wave Motion
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Physica D
1 MCSS. Mathematics of Control, Signals, and Systems
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Russian Journal of Mathematical Physics
1 Filomat
1 Sbornik: Mathematics
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Lobachevskii Journal of Mathematics
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Asian Journal of Control
1 Evolution Equations and Control Theory
1 Quantum Studies: Mathematics and Foundations
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Advances in Operator Theory

Citations by Year