Christiane Tretter

Christiane Tretter's AcademicInfluence.com Rankings

Christiane Tretter

Mathematics

#4488

World Rank

#6365

Historical Rank

Mathematical Physics

#74

World Rank

#88

Historical Rank

Differential Geometry

#123

World Rank

#145

Historical Rank

Geometry

#227

World Rank

#314

Historical Rank

mathematics Degrees

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Mathematics

Why Is Christiane Tretter Influential?

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According to Wikipedia, Christiane Tretter is a German mathematician and mathematical physicist who works as a professor in the Mathematical Institute of the University of Bern in Switzerland, and as managing director of the institute. Her research interests include differential operators and spectral theory.

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Christiane Tretter's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Operator theory: Advances and applications (1991) (396)
Spectral Theory Of Block Operator Matrices And Applications (2008) (331)
A Krein Space Approach to PT-symmetry (2004) (128)
Boundary Eigenvalue Problems for Differential Equations Nη= λPη with λ-Polynomial Boundary Conditions (2001) (90)
A new concept for block operator matrices:the quadratic numerical range (2001) (59)
Spectral inclusion for unbounded block operator matrices (2009) (59)
Existence and Uniqueness of Contractive Solutions of Some Riccati Equations (2001) (51)
SPECTRAL DECOMPOSITION OF SOME NONSELFADJOINT BLOCK OPERATOR MATRICES (2007) (50)
Spectral Analysis for Linear PencilsN ?P of Ordinary Differential Operators (1996) (49)
Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line (2012) (49)
Diagonalization of Certain Block Operator Matrices and Applications to Dirac Operators (2001) (44)
Spectral Theory of the Klein–Gordon Equation in Pontryagin Spaces (2006) (39)
Spectral Problems for Systems of Differential Equationsy′ +A0y = λA1y with λ-Polynomial Boundary Conditions (2000) (37)
Singular Dirac Systems and Sturm-Liouville Problems Nonlinear in the Spectral Parameter (2002) (37)
On λ-nonlinear boundary eigenvalue problems (1993) (34)
Spectral Theory of the Klein–Gordon Equation in Krein Spaces (2008) (34)
Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings (2013) (31)
Variational principles and eigenvalue estimates for unbounded block operator matrices and applications (2004) (29)
Linear operator pencilsA-λB with discrete spectrum (2000) (29)
Variational principles for eigenvalues of block operator matrices (2002) (26)
Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator (2001) (26)
Rational eigenvalue problems and applications to photonic crystals (2017) (25)
Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements (2003) (25)
Non-symmetric perturbations of self-adjoint operators (2016) (25)
Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter (2001) (24)
The Block Numerical Range of an n × n Block Operator Matrix (2002) (24)
Nonselfadjoint spectral problems for linear pencilsN-λP of ordinary differential operators with λ-linear boundary conditions: Completeness results (1996) (22)
Bounds on the spectrum and reducing subspaces of a J-self-adjoint operator (2009) (21)
The essential numerical range for unbounded linear operators (2019) (21)
ON A CLASS OF NON-SELF-ADJOINT QUADRATIC MATRIX OPERATOR PENCILS ARISING IN ELASTICITY THEORY (2002) (21)
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations (2013) (21)
Location and multiplicities of eigenvalues for a star graph of Stieltjes strings (2015) (20)
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions (2003) (19)
Essential spectra of coupled systems of differential equations and applications in hydrodynamics (2007) (18)
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics (2010) (17)
Spectral properties of the Orr-Sommerfeld problem (1997) (16)
Approximations of spectra of Schrödinger operators with complex potentials on ℝd (2017) (16)
Corners of Numerical Ranges (2001) (16)
The damped wave equation with unbounded damping (2018) (14)
Spectrum of definite type of self-adjoint operators in Krein spaces (2005) (14)
Dirac–Krein Systems on Star Graphs (2016) (13)
Variational principles for eigenvalues of the Klein-Gordon equation (2006) (13)
Eigenvalue bounds for the singular Sturm–Liouville problem with a complex potential (2003) (12)
On the Spectrum of the Magnetohydrodynamic Mean-Field α2-Dynamo Operator (2010) (12)
A Linearization for a Class of λ-Nonlinear Boundary Eigenvalue Problems (2000) (12)
Kamke Problems. Properties of the Eigenfunctions (2006) (10)
Guaranteed resonance enclosures and exclosures for atoms and molecules (2014) (9)
Inverse problem for a damped Stieltjes string from parts of spectra (2015) (9)
The Virozub–Matsaev Condition and Spectrum of Definite Type for Self-adjoint Operator Functions (2008) (9)
Corrigendum to A Krein space approach to PT symmetry (2006) (9)
On fundamental systems for differential equations of Kamke type (1995) (9)
Spectral inclusion for unbounded diagonally dominant $n\times n$ operator matrices (2018) (8)
A new method for eigenvalue estimates for Dirac operators on certain manifolds with Sk-symmetry☆ (2003) (8)
Essential spectrum of systems of singular differential equations (2013) (7)
Analysis of the essential spectrum of singular matrix differential operators (2015) (7)
Systems with strong damping and their spectra (2018) (4)
Everything is possible for the domain intersection dom T ∩ dom T⁎ (2019) (4)
Essential spectrum of elliptic systems of pseudo-differential operators on L² (RN) ⊕ L²(RN) (2017) (4)
Lyapunov stability of a perturbed multiplication operator (1998) (4)
The Quadratic Numerical Range of an Analytic Operator Function (2010) (4)
The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach Space (2005) (4)
Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow (2013) (4)
On the Spectrum of an Operator in Truncated Fock Space (2016) (4)
Spectral properties of a compactly perturbed linear span of projections (1996) (3)
The Spectrum of a Parametrized Partial Differential Operator Occurring in Hydrodynamics (2002) (3)
Eigenvalue accumulation for Dirac operators with spherically symmetric potential (2004) (3)
Asymptotic separation of the spectrum of quadratic operator pencils associated with damped dynamical systems (2003) (3)
Simplicity of extremal eigenvalues of the Klein-Gordon equation (2010) (3)
Non-linear eigenvalue problems and applications to photonic crystals (2015) (3)
The block numerical range of analytic operator functions (2014) (2)
On a spectral problem in magnetohydrodynamics and its relevance for the geodynamo (2018) (2)
On Buckling Problems (2000) (2)
Spectral analysis and domain truncation methods for Maxwell's equations (2022) (2)
Complete second order linear differential operator equations in Hilbert space and applications in hydrodynamics (2004) (2)
Compressed Resolvents and Reduction of Spectral Problems on Star Graphs (2019) (2)
Pseudo Numerical Ranges and Spectral Enclosures (2022) (1)
Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation (2020) (1)
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations (2013) (1)
Essential numerical range and $C$-numerical range for unbounded operators (2022) (1)
Spectral analysis and domain truncation for Maxwell's equations (2022) (1)
Essential spectrum of elliptic systems of pseudo-differential operators on $$L^2({{\mathbb {R}}}^N) \oplus L^2({{\mathbb {R}}}^N)$$L2(RN)⊕L2(RN) (2017) (1)
Recent progress in operator theory : International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995 (1998) (0)
Integral Equations and Operator Theory (2012) (0)
SPECTRAL DECOMPOSITION OF SOME NONSELFADJOINT (1998) (0)
Applications in Mathematical Physics (2008) (0)
Differential and Integral Operators (1998) (0)
Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces (2021) (0)
Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line (2013) (0)
Spectral Theory and Weyl Functions (2015) (0)
Compressed Resolvents and Reduction of Spectral Problems on Star Graphs (2018) (0)
What you always wanted to know about … exponential growth (2020) (0)
Dirac–Krein Systems on Star Graphs (2016) (0)
Differentialrechnung in ℝn (2013) (0)
Unbounded Block Operator Matrices (2008) (0)
Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS (2021) (0)
Differentialrechnung in ℝ (2013) (0)
Numerical range and quadratic numerical range for damped systems (2017) (0)
Preface to special issue on Applied Operator Theory (2018) (0)
Asymptotic boundary conditions for expansion theorems for boundary eigenvalue problems of the form N(y)=λP(y) with λ-depending boundary conditions (1993) (0)
Recent Progress in Operator Theory (1998) (0)
Preface and conference report (2005) (0)
Approximations of spectra of Schr\"odinger operators with complex potentials on $\mathbb{R}^d$ (2015) (0)
Computing Klein-Gordon Spectra (2022) (0)
Differential and integral operators : International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995 (1998) (0)
Integralrechnung in ℝ (2013) (0)

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Christiane Tretter's Published Works

Published Works

Other Resources About Christiane Tretter

What Schools Are Affiliated With Christiane Tretter?

Christiane Tretter's AcademicInfluence.com Rankings