# zbMATH — the first resource for mathematics

## Tretter, Christiane

Compute Distance To:
 Author ID: tretter.christiane Published as: Tretter, C.; Tretter, Ch.; Tretter, Chr.; Tretter, Christiane Homepage: http://www.philnat.unibe.ch/a_dept_math/a_inst_math/content/ueber_uns/personen/p... External Links: MGP · Wikidata · dblp
 Documents Indexed: 85 Publications since 1992, including 8 Books Reviewing Activity: 68 Reviews
all top 5

#### Co-Authors

 18 single-authored 22 Langer, Heinz 8 Langer, Matthias 7 Marletta, Marco 6 Mennicken, Reinhard 5 Markus, Alexander S. 5 Wagenhofer, Markus 4 Bögli, Sabine 4 Brown, B. Malcolm 4 Ibrogimov, Orif O. 4 Pivovarchik, Vyacheslav N. 4 Shkalikov, Andreĭ Andreevich 3 Adamyan, Vadym Movsesovych 3 Siegl, Petr 2 Cuenin, Jean-Claude 2 Denk, Robert 2 Gohberg, Israel 2 Kraus, Margarita 2 Matsaev, Vladimir Igorevich 2 Möller, Manfred 2 Naboko, Serguei N. 2 Najman, Branko 2 Pivovarchik, Vyacheslav M. 2 Schmid, Harald 2 Winklmeier, Monika 1 Albeverio, Sergio A. 1 Arlins’kyĭ, Yuriĭ Moĭseĭovych 1 Engström, Christian 1 Freitas, Pedro 1 Günther, Uwe 1 Jacob, Birgit 1 Kopachevsky, Nikolay Dmitrievich 1 Koppen, Mario 1 Laptev, Ari 1 Li, Chi-Kwong 1 Martynuk, Olga 1 Motovilov, Aleksandr Konstantinovich 1 Pashkova, Yuliya S. 1 Radl, Agnes 1 Rasulov, Tulkin Khusenovich 1 Rodman, Leiba X. 1 Rozhenko, Natalia A. 1 Sakhnovich, Alexander L. 1 Trunk, Carsten 1 Vogt, Hendrik 1 Wyss, Christian
all top 5

#### Serials

 5 Integral Equations and Operator Theory 5 Journal of Differential Equations 5 Journal of Functional Analysis 4 Journal of Mathematical Analysis and Applications 3 Mathematische Nachrichten 3 Complex Analysis and Operator Theory 2 Linear and Multilinear Algebra 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Indiana University Mathematics Journal 2 Journal of Operator Theory 2 Journal of Physics A: Mathematical and General 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Czechoslovak Journal of Physics 2 Operator Theory: Advances and Applications 2 Mathematik Kompakt 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Differential Geometry and its Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Difference Equations and Applications 1 Methods of Functional Analysis and Topology 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 LMS Journal of Computation and Mathematics 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Operators and Matrices 1 Journal of Pseudo-Differential Operators and Applications
all top 5

#### Fields

 59 Operator theory (47-XX) 34 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 13 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 627 times in 367 Documents Cited by Year
Spectral theory of block operator matrices and applications. Zbl 1173.47003
Tretter, Christiane
2008
A Krein space approach to $$PT$$ symmetry. Zbl 1162.81375
Langer, Heinz; Tretter, Christiane
2004
Boundary eigenvalue problems for differential equations $$N\eta=\lambda P\eta$$ with $$\lambda$$-polynomial boundary conditions. Zbl 0984.34010
Tretter, Christiane
2001
A new concept for block operator matrices: The quadratic numerical range. Zbl 0998.15035
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
2001
Spectral decomposition of some nonselfadjoint block operator matrices. Zbl 0996.47006
Langer, Heinz; Tretter, Christiane
1998
Eigenvalue estimates for non-selfadjoint Dirac operators on the real line. Zbl 1287.81050
Cuenin, Jean-Claude; Laptev, Ari; Tretter, Christiane
2014
Spectral inclusion for unbounded block operator matrices. Zbl 1179.47005
Tretter, Christiane
2009
Spectral theory of the Klein-Gordon equation in Pontryagin spaces. Zbl 1114.47038
Langer, Heinz; Najman, Branko; Tretter, Christiane
2006
Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter. Zbl 1012.34082
Schmid, Harald; Tretter, Christiane
2002
Spectral theory of the Klein-Gordon equation in Krein spaces. Zbl 1152.81020
Langer, Heinz; Najman, Branko; Tretter, Christiane
2008
Existence and uniqueness of contractive solutions of some Riccati equations. Zbl 0982.47019
2001
Diagonalization of certain block operator matrices and applications to Dirac operators. Zbl 0976.47014
Langer, Heinz; Tretter, Christiane
2001
Spectral analysis for linear pencils $$N-\lambda P$$ of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
1996
Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. Zbl 1060.47004
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
2003
Linear operator pencils $$A-\lambda B$$ with discrete spectrum. Zbl 0977.47012
Tretter, Christiane
2000
On $$\lambda$$-nonlinear boundary eigenvalue problems. Zbl 0785.34054
Tretter, Christiane
1993
Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings. Zbl 1286.34025
Pivovarchik, Vyacheslav; Rozhenko, Natalia; Tretter, Christiane
2013
Spectral problems for systems of differential equations $$y^{\prime} + A_0 y = \lambda A_1 y$$ with $$\lambda$$-polynomial boundary conditions. Zbl 0959.34067
Tretter, Christiane
2000
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
1994
Rational eigenvalue problems and applications to photonic crystals. Zbl 1351.65084
Engström, Christian; Langer, Heinz; Tretter, Christiane
2017
Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter. Zbl 1020.34024
Mennicken, R.; Sakhnovich, A. L.; Tretter, C.
2001
Variational principles and eigenvalue estimates for unbounded block operator matrices and applications. Zbl 1066.49030
Kraus, Margarita; Langer, Matthias; Tretter, Christiane
2004
The block numerical range of an $$n\times n$$ block operator matrix. Zbl 1051.47003
Tretter, Christiane; Wagenhofer, Markus
2003
Variational principles for eigenvalues of block operator matrices. Zbl 1048.47011
Langer, Heinz; Langer, Matthias; Tretter, Christiane
2002
Location and multiplicities of eigenvalues for a star graph of Stieltjes strings. Zbl 1328.39033
Pivovarchik, Vyacheslav; Tretter, Christiane
2015
On a class of non-self-adjoint quadric matrix operator pencils arising in elasticity theory. Zbl 1019.47017
2002
Essential spectrum of a system of singular differential operators and the asymptotic Hain-Lüst operator. Zbl 1044.47004
Mennicken, Reinhard; Naboko, Serguei; Tretter, Christiane
2002
Nonselfadjoint spectral problems for linear pencils $$N- \lambda P$$ of ordinary differential operators with $$\lambda$$-linear boundary conditions: Completeness results. Zbl 0862.34057
Tretter, Christiane
1996
Non-symmetric perturbations of self-adjoint operators. Zbl 1341.47017
Cuenin, Jean-Claude; Tretter, Christiane
2016
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Zbl 1320.47012
Tretter, Christiane; Wyss, Christian
2014
Essential spectra of coupled systems of differential equations and applications in hydrodynamics. Zbl 1129.47061
Marletta, Marco; Tretter, Christiane
2007
Bounds on the spectrum and reducing subspaces of a $$J$$-self-adjoint operator. Zbl 1236.47032
Albeverio, Sergio; Motovilov, Alexander K.; Tretter, Christiane
2010
Approximations of spectra of Schrödinger operators with complex potentials on $$\mathbb{R}^d$$. Zbl 1384.35016
Bögli, Sabine; Siegl, Petr; Tretter, Christiane
2017
Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2005
Spectral issues for block operator matrices. Zbl 1056.47500
Tretter, Christiane
2000
A selfadjoint linear pencil $$Q-\lambda P$$ of ordinary differential operators. Zbl 0927.47008
Langer, Heinz; Mennicken, Reinhard; Tretter, Christiane
1996
Inverse problem for a damped Stieltjes string from parts of spectra. Zbl 1330.39021
Martynuk, Olga; Pivovarchik, Vyacheslav; Tretter, Christiane
2015
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
2003
Corners of numerical ranges. Zbl 0990.47007
Langer, Heinz; Markus, Alexander; Tretter, Christiane
2001
On fundamental systems for differential equations of Kamke type. Zbl 0827.34004
Tretter, Christiane
1995
The damped wave equation with unbounded damping. Zbl 1392.35188
Freitas, Pedro; Siegl, Petr; Tretter, Christiane
2018
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. Zbl 1301.76083
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2010
A linearization for a class of $$\lambda$$-nonlinear boundary eigenvalue problems. Zbl 0959.34066
Tretter, Christiane
2000
Spectral properties of the Orr-Sommerfeld problem. Zbl 0897.34070
Langer, Heinz; Tretter, Christiane
1997
Dirac-Krein systems on star graphs. Zbl 1360.81155
Adamyan, V.; Langer, H.; Tretter, C.; Winklmeier, M.
2016
Essential spectrum of systems of singular differential equations. Zbl 1324.47029
Ibrogimov, Orif O.; Langer, Heinz; Langer, Matthias; Tretter, Christiane
2013
Corrigendum to: A Krein space approach to $$PT$$ symmetry. Zbl 1163.81309
Langer, Heinz; Tretter, Christiane
2006
Eigenvalue bounds for the singular Sturm-Liouville problem with a complex potential. Zbl 1058.34113
Brown, B. M.; Langer, M.; Marletta, M.; Tretter, C.; Wagenhofer, M.
2003
On buckling problems. Zbl 0974.34079
Tretter, C.
2000
The essential numerical range for unbounded linear operators. Zbl 07190456
Bögli, Sabine; Marletta, Marco; Tretter, Christiane
2020
On the spectrum of an operator in truncated Fock space. Zbl 1402.81151
Ibrogimov, Orif O.; Tretter, Christiane
2018
Analysis of the essential spectrum of singular matrix differential operators. Zbl 1328.47008
Ibrogimov, O. O.; Siegl, P.; Tretter, C.
2016
Guaranteed resonance enclosures and exclosures for atoms and molecules. Zbl 1371.81347
Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2014
On the spectrum of the magnetohydrodynamic mean-field $$\alpha^2$$-dynamo operator. Zbl 1218.47008
Günther, Uwe; Langer, Heinz; Tretter, Christiane
2010
The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions. Zbl 1177.47019
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2008
Variational principles for eigenvalues of the Klein-Gordon equation. Zbl 1112.78008
Langer, Matthias; Tretter, Christiane
2006
Asymptotic separation of the spectrum of quadratic operator pencils associated with damped dynamical systems. Zbl 1068.47018
Pivovarchik, Vjacheslav; Tretter, Christiane
2003
Everything is possible for the domain intersection dom $$T \cap$$ dom $$T^\ast$$. Zbl 07258214
Arlinskiĭ, Yury; Tretter, Christiane
2020
Systems with strong damping and their spectra. Zbl 06986309
Jacob, Birgit; Tretter, Christiane; Trunk, Carsten; Vogt, Hendrik
2018
Spectral inclusion for unbounded diagonally dominant $$n\times n$$ operator matrices. Zbl 06866711
Rasulov, Tulkin H.; Tretter, Christiane
2018
Essential spectrum of elliptic systems of pseudo-differential operators on $$L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)$$. Zbl 06818249
Ibrogimov, Orif O.; Tretter, Christiane
2017
Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow. Zbl 1262.47006
Marletta, Marco; Tretter, Christiane
2013
Simplicity of extremal eigenvalues of the Klein-Gordon equation. Zbl 1228.81165
Koppen, Mario; Tretter, Christiane; Winklmeier, Monika
2011
The spectrum of the multiplication operator associated with a family of operators in a Banach space. Zbl 1108.47006
Denk, R.; Möller, M.; Tretter, C.
2006
Eigenvalue accumulation for Dirac operators with spherically symmetric potential. Zbl 1064.81040
Schmid, Harald; Tretter, Christiane
2004
A new method for eigenvalue estimates for Dirac operators on certain manifolds with $$S^{k}$$-symmetry. Zbl 1030.58023
Kraus, Margarita; Tretter, Christiane
2003
The spectrum of a parametrized partial differential operator occurring in hydrodynamics. Zbl 1017.47035
Denk, R.; Möller, M.; Tretter, C.
2002
Lyapunov stability of a perturbed multiplication operator. Zbl 0921.47028
Naboko, S. N.; Tretter, C.
1998
Spectral properties of a compactly perturbed linear span of projections. Zbl 0865.47009
Langer, H.; Pivovarchik, V.; Tretter, C.
1996
The essential numerical range for unbounded linear operators. Zbl 07190456
Bögli, Sabine; Marletta, Marco; Tretter, Christiane
2020
Everything is possible for the domain intersection dom $$T \cap$$ dom $$T^\ast$$. Zbl 07258214
Arlinskiĭ, Yury; Tretter, Christiane
2020
The damped wave equation with unbounded damping. Zbl 1392.35188
Freitas, Pedro; Siegl, Petr; Tretter, Christiane
2018
On the spectrum of an operator in truncated Fock space. Zbl 1402.81151
Ibrogimov, Orif O.; Tretter, Christiane
2018
Systems with strong damping and their spectra. Zbl 06986309
Jacob, Birgit; Tretter, Christiane; Trunk, Carsten; Vogt, Hendrik
2018
Spectral inclusion for unbounded diagonally dominant $$n\times n$$ operator matrices. Zbl 06866711
Rasulov, Tulkin H.; Tretter, Christiane
2018
Rational eigenvalue problems and applications to photonic crystals. Zbl 1351.65084
Engström, Christian; Langer, Heinz; Tretter, Christiane
2017
Approximations of spectra of Schrödinger operators with complex potentials on $$\mathbb{R}^d$$. Zbl 1384.35016
Bögli, Sabine; Siegl, Petr; Tretter, Christiane
2017
Essential spectrum of elliptic systems of pseudo-differential operators on $$L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)$$. Zbl 06818249
Ibrogimov, Orif O.; Tretter, Christiane
2017
Non-symmetric perturbations of self-adjoint operators. Zbl 1341.47017
Cuenin, Jean-Claude; Tretter, Christiane
2016
Dirac-Krein systems on star graphs. Zbl 1360.81155
Adamyan, V.; Langer, H.; Tretter, C.; Winklmeier, M.
2016
Analysis of the essential spectrum of singular matrix differential operators. Zbl 1328.47008
Ibrogimov, O. O.; Siegl, P.; Tretter, C.
2016
Location and multiplicities of eigenvalues for a star graph of Stieltjes strings. Zbl 1328.39033
Pivovarchik, Vyacheslav; Tretter, Christiane
2015
Inverse problem for a damped Stieltjes string from parts of spectra. Zbl 1330.39021
Martynuk, Olga; Pivovarchik, Vyacheslav; Tretter, Christiane
2015
Eigenvalue estimates for non-selfadjoint Dirac operators on the real line. Zbl 1287.81050
Cuenin, Jean-Claude; Laptev, Ari; Tretter, Christiane
2014
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Zbl 1320.47012
Tretter, Christiane; Wyss, Christian
2014
Guaranteed resonance enclosures and exclosures for atoms and molecules. Zbl 1371.81347
Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2014
Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings. Zbl 1286.34025
Pivovarchik, Vyacheslav; Rozhenko, Natalia; Tretter, Christiane
2013
Essential spectrum of systems of singular differential equations. Zbl 1324.47029
Ibrogimov, Orif O.; Langer, Heinz; Langer, Matthias; Tretter, Christiane
2013
Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow. Zbl 1262.47006
Marletta, Marco; Tretter, Christiane
2013
Simplicity of extremal eigenvalues of the Klein-Gordon equation. Zbl 1228.81165
Koppen, Mario; Tretter, Christiane; Winklmeier, Monika
2011
Bounds on the spectrum and reducing subspaces of a $$J$$-self-adjoint operator. Zbl 1236.47032
Albeverio, Sergio; Motovilov, Alexander K.; Tretter, Christiane
2010
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. Zbl 1301.76083
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2010
On the spectrum of the magnetohydrodynamic mean-field $$\alpha^2$$-dynamo operator. Zbl 1218.47008
Günther, Uwe; Langer, Heinz; Tretter, Christiane
2010
Spectral inclusion for unbounded block operator matrices. Zbl 1179.47005
Tretter, Christiane
2009
Spectral theory of block operator matrices and applications. Zbl 1173.47003
Tretter, Christiane
2008
Spectral theory of the Klein-Gordon equation in Krein spaces. Zbl 1152.81020
Langer, Heinz; Najman, Branko; Tretter, Christiane
2008
The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions. Zbl 1177.47019
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2008
Essential spectra of coupled systems of differential equations and applications in hydrodynamics. Zbl 1129.47061
Marletta, Marco; Tretter, Christiane
2007
Spectral theory of the Klein-Gordon equation in Pontryagin spaces. Zbl 1114.47038
Langer, Heinz; Najman, Branko; Tretter, Christiane
2006
Corrigendum to: A Krein space approach to $$PT$$ symmetry. Zbl 1163.81309
Langer, Heinz; Tretter, Christiane
2006
Variational principles for eigenvalues of the Klein-Gordon equation. Zbl 1112.78008
Langer, Matthias; Tretter, Christiane
2006
The spectrum of the multiplication operator associated with a family of operators in a Banach space. Zbl 1108.47006
Denk, R.; Möller, M.; Tretter, C.
2006
Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2005
A Krein space approach to $$PT$$ symmetry. Zbl 1162.81375
Langer, Heinz; Tretter, Christiane
2004
Variational principles and eigenvalue estimates for unbounded block operator matrices and applications. Zbl 1066.49030
Kraus, Margarita; Langer, Matthias; Tretter, Christiane
2004
Eigenvalue accumulation for Dirac operators with spherically symmetric potential. Zbl 1064.81040
Schmid, Harald; Tretter, Christiane
2004
Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. Zbl 1060.47004
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
2003
The block numerical range of an $$n\times n$$ block operator matrix. Zbl 1051.47003
Tretter, Christiane; Wagenhofer, Markus
2003
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Zbl 1055.34021
Marletta, Marco; Shkalikov, Andrei; Tretter, Christiane
2003
Eigenvalue bounds for the singular Sturm-Liouville problem with a complex potential. Zbl 1058.34113
Brown, B. M.; Langer, M.; Marletta, M.; Tretter, C.; Wagenhofer, M.
2003
Asymptotic separation of the spectrum of quadratic operator pencils associated with damped dynamical systems. Zbl 1068.47018
Pivovarchik, Vjacheslav; Tretter, Christiane
2003
A new method for eigenvalue estimates for Dirac operators on certain manifolds with $$S^{k}$$-symmetry. Zbl 1030.58023
Kraus, Margarita; Tretter, Christiane
2003
Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter. Zbl 1012.34082
Schmid, Harald; Tretter, Christiane
2002
Variational principles for eigenvalues of block operator matrices. Zbl 1048.47011
Langer, Heinz; Langer, Matthias; Tretter, Christiane
2002
On a class of non-self-adjoint quadric matrix operator pencils arising in elasticity theory. Zbl 1019.47017
2002
Essential spectrum of a system of singular differential operators and the asymptotic Hain-Lüst operator. Zbl 1044.47004
Mennicken, Reinhard; Naboko, Serguei; Tretter, Christiane
2002
The spectrum of a parametrized partial differential operator occurring in hydrodynamics. Zbl 1017.47035
Denk, R.; Möller, M.; Tretter, C.
2002
Boundary eigenvalue problems for differential equations $$N\eta=\lambda P\eta$$ with $$\lambda$$-polynomial boundary conditions. Zbl 0984.34010
Tretter, Christiane
2001
A new concept for block operator matrices: The quadratic numerical range. Zbl 0998.15035
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
2001
Existence and uniqueness of contractive solutions of some Riccati equations. Zbl 0982.47019
2001
Diagonalization of certain block operator matrices and applications to Dirac operators. Zbl 0976.47014
Langer, Heinz; Tretter, Christiane
2001
Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter. Zbl 1020.34024
Mennicken, R.; Sakhnovich, A. L.; Tretter, C.
2001
Corners of numerical ranges. Zbl 0990.47007
Langer, Heinz; Markus, Alexander; Tretter, Christiane
2001
Linear operator pencils $$A-\lambda B$$ with discrete spectrum. Zbl 0977.47012
Tretter, Christiane
2000
Spectral problems for systems of differential equations $$y^{\prime} + A_0 y = \lambda A_1 y$$ with $$\lambda$$-polynomial boundary conditions. Zbl 0959.34067
Tretter, Christiane
2000
Spectral issues for block operator matrices. Zbl 1056.47500
Tretter, Christiane
2000
A linearization for a class of $$\lambda$$-nonlinear boundary eigenvalue problems. Zbl 0959.34066
Tretter, Christiane
2000
On buckling problems. Zbl 0974.34079
Tretter, C.
2000
Spectral decomposition of some nonselfadjoint block operator matrices. Zbl 0996.47006
Langer, Heinz; Tretter, Christiane
1998
Lyapunov stability of a perturbed multiplication operator. Zbl 0921.47028
Naboko, S. N.; Tretter, C.
1998
Spectral properties of the Orr-Sommerfeld problem. Zbl 0897.34070
Langer, Heinz; Tretter, Christiane
1997
Spectral analysis for linear pencils $$N-\lambda P$$ of ordinary differential operators. Zbl 0862.34058
Shkalikov, Andrey A.; Tretter, Christiane
1996
Nonselfadjoint spectral problems for linear pencils $$N- \lambda P$$ of ordinary differential operators with $$\lambda$$-linear boundary conditions: Completeness results. Zbl 0862.34057
Tretter, Christiane
1996
A selfadjoint linear pencil $$Q-\lambda P$$ of ordinary differential operators. Zbl 0927.47008
Langer, Heinz; Mennicken, Reinhard; Tretter, Christiane
1996
Spectral properties of a compactly perturbed linear span of projections. Zbl 0865.47009
Langer, H.; Pivovarchik, V.; Tretter, C.
1996
On fundamental systems for differential equations of Kamke type. Zbl 0827.34004
Tretter, Christiane
1995
Kamke problems. Properties of the eigenfunctions. Zbl 0813.34071
Shalikov, Andrey A.; Tretter, Christiane
1994
On $$\lambda$$-nonlinear boundary eigenvalue problems. Zbl 0785.34054
Tretter, Christiane
1993
all top 5

#### Cited by 437 Authors

 39 Tretter, Christiane 15 Jeribi, Aref 14 Langer, Heinz 12 Chen, Alatancang 12 Wang, Junmin 10 Trunk, Carsten 9 Marletta, Marco 9 Siegl, Petr 9 Znojil, Miloslav 8 Ibrogimov, Orif O. 8 Langer, Matthias 8 Motovilov, Aleksandr Konstantinovich 8 Sakhnovich, Alexander L. 7 Ammar, Aymen 6 Albeverio, Sergio A. 6 Behrndt, Jussi 6 Cuenin, Jean-Claude 6 Engström, Christian 6 Guo, Bao-Zhu 6 Krejčiřík, David 6 Rasulov, Tulkin Khusenovich 6 Shkalikov, Andreĭ Andreevich 6 Strauss, Michael A. 5 Markus, Alexander S. 5 Ozkan, Ahmet Sinan 5 Pivovarchik, Vyacheslav N. 5 Wyss, Christian 4 Azizov, Tomas Ya. 4 Bögli, Sabine 4 Boulton, Lyonell S. 4 Dijksma, Aad 4 Huang, Junjie 4 Krichen, Bilel 4 Makarov, Konstantin A. 4 Möller, Manfred 4 Philipp, Friedrich 4 Torshage, Axel 4 Winklmeier, Monika 4 Wu, Deyu 4 Xu, Gen-Qi 4 Yurko, Vjacheslav Anatoljevich 3 Aliyev, Ziyatkhan S. 3 Brown, B. Malcolm 3 Chen, Shaozhu 3 Cvetković-Ilić, Dragana S. 3 Fritzsche, Bernd 3 Gérard, Christian 3 Gesztesy, Fritz 3 Gil’, Michael Iosif 3 Grubišić, Luka 3 Günther, Uwe 3 Häfner, Dietrich 3 Keskin, Baki 3 Kirstein, Bernd 3 Kostrykin, Vadim V. 3 Laptev, Ari 3 Matsaev, Vladimir Igorevich 3 Moalla, Nedra 3 Muhammad, Ahmed 3 Psarrakos, Panayiotis J. 3 Qi, Jiangang 3 Ran, André C. M. 3 Saadaoui, Bilel 3 Štampach, František 3 Veselić, Krešimir 3 Yung, Siu Pang 3 Zinsou, Bertin 2 Adamyan, Vadym Movsesovych 2 Annaby, Mahmoud H. 2 Arlins’kyĭ, Yuriĭ Moĭseĭovych 2 Aydemir, Kadriye 2 Bartels, Casey 2 Bebiano, Natália Isabel Quadros 2 Borisov, Denis Ivanovich 2 Boussaid, Nabile 2 Chanane, Bilal 2 Chentouf, Boumediène 2 Currie, Sonja 2 da Providência Santarém e Costa, João 2 Davies, Edward Brian 2 Deng, Lianwang 2 Dilmurodov, Elyor B. 2 Engel, Klaus-Jochen 2 Fanelli, Luca 2 Freiling, Gerhard 2 Freitas, Pedro 2 Frommer, Andreas 2 Gardas, Bartłomiej 2 Georgescu, Vladimir 2 Giga, Yoshikazu 2 Giribet, Juan Ignacio 2 Gridneva, Irina V. 2 Güldü, Yalçın 2 Guo, Yongxia 2 Hai, Guojun 2 Han, Zhongjie 2 Hansmann, Marcel 2 Ilchmann, Achim 2 Jakubský, Vít 2 Jin, Guohai ...and 337 more Authors
all top 5

#### Cited in 128 Serials

 38 Integral Equations and Operator Theory 22 Journal of Mathematical Analysis and Applications 19 Journal of Functional Analysis 16 Linear Algebra and its Applications 14 Journal of Mathematical Physics 14 Journal of Differential Equations 11 Mathematische Nachrichten 11 Complex Analysis and Operator Theory 10 Annales Henri Poincaré 8 Mathematical Methods in the Applied Sciences 8 Mathematical Notes 7 Journal of Spectral Theory 5 Proceedings of the American Mathematical Society 4 Journal of Computational and Applied Mathematics 3 Applicable Analysis 3 Communications in Mathematical Physics 3 International Journal of Theoretical Physics 3 Linear and Multilinear Algebra 3 Rocky Mountain Journal of Mathematics 3 Theoretical and Mathematical Physics 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Results in Mathematics 3 Transactions of the American Mathematical Society 3 Systems & Control Letters 3 Turkish Journal of Mathematics 3 Acta Mathematica Sinica. English Series 3 Differential Equations 3 Mediterranean Journal of Mathematics 3 Boundary Value Problems 3 Operators and Matrices 3 Analysis and Mathematical Physics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Numerische Mathematik 2 Transactions of the Moscow Mathematical Society 2 Constructive Approximation 2 Numerical Algorithms 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Opuscula Mathematica 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Positivity 2 LMS Journal of Computation and Mathematics 2 Czechoslovak Journal of Physics 2 Journal of Evolution Equations 2 Central European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of Applied Analysis and Computation 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Arkiv för Matematik 1 Fortschritte der Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 BIT 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Differential Geometry and its Applications 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences ...and 28 more Serials
all top 5

#### Cited in 35 Fields

 217 Operator theory (47-XX) 114 Ordinary differential equations (34-XX) 88 Partial differential equations (35-XX) 66 Quantum theory (81-XX) 27 Numerical analysis (65-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 18 Functional analysis (46-XX) 17 Fluid mechanics (76-XX) 15 Mechanics of deformable solids (74-XX) 13 Systems theory; control (93-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Difference and functional equations (39-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 7 Optics, electromagnetic theory (78-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.