Mathematical and physical aspects of complex symmetric operators

The Real Spectrum of the Imaginary Cubic Oscillator: An Expository Proof

(2014) Ilario Giordanelli et al.   ANNALES HENRI POINCARE

On a J-polar decomposition of a bounded operator and matrices of J-symmetric and J-skew-symmetric operators

(2014) Sergey M. Zagorodnyuk   Banach Journal of Mathematical Analysis

Spectral Projections of the Complex Cubic Oscillator

(2013) Raphaël Henry   ANNALES HENRI POINCARE

On the Similarity of Sturm–Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators

(2013) David Krejčiřík et al.   Complex Analysis and Operator Theory

Orthogonal polynomials of the R-linear generalized minimal residual method

(2013) Marko Huhtanen et al.   JOURNAL OF APPROXIMATION THEORY

On complex symmetric operator matrices

(2013) Sungeun Jung et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On a Weyl–von Neumann type theorem for antilinear self-adjoint operators

(2013) Santtu Ruotsalainen   STUDIA MATHEMATICA

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(2013)   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

A Non-Linear Extremal Problem on the Hardy Space

(2013) Stephan Ramon Garcia et al.   Computational Methods and Function Theory

Truncated Toeplitz operators: spatial isomorphism, unitary equivalence, and similarity

(2012) Joseph A. Cima et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Quantum physics with non-Hermitian operators

(2012) Carl Bender et al.   Journal of Physics A-Mathematical and Theoretical

On elements of the Lax–Phillips scattering scheme for $\mathcal {PT}$-symmetric operators

(2012) S Albeverio et al.   Journal of Physics A-Mathematical and Theoretical

The Pauli equation with complex boundary conditions

(2012) D Kochan et al.   Journal of Physics A-Mathematical and Theoretical

Quadratic ${\mathcal P}{\mathcal T}$-symmetric operators with real spectrum and similarity to self-adjoint operators

(2012) Emanuela Caliceti et al.   Journal of Physics A-Mathematical and Theoretical

Unitary equivalence to a complex symmetric matrix: Low dimensions

(2012) Stephan Ramon Garcia et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Truncated Toeplitz operators on finite dimensional spaces

(2012) Joseph A. Cima et al.   Operators and Matrices

On an extremal problem of Garcia and Ross

(2012) Isabelle Chalendar et al.   Operators and Matrices

Unitary equivalence to a complex symmetric matrix: geometric criteria

(2012) Levon Balayan et al.   Operators and Matrices

Unitary equivalence to a complex symmetric matrix: a modulus criterion

(2012) Stephan Ramon Garcia et al.   Operators and Matrices

Matrix Hamiltonians with a chance of being complex symmetric

(2011) Miloslav Znojil   INTEGRAL EQUATIONS AND OPERATOR THEORY

On local spectral properties of complex symmetric operators

(2011) S. Jung et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On scalar extensions and spectral decompositions of complex symmetric operators

(2011) Sungeun Jung et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Special issue on quantum physics with non-Hermitian operators

(2011) Carl M Bender et al.   Journal of Physics A-Mathematical and Theoretical

Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras

(2011) Xuhua Liu et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Numerical solution of the $\mathbb R$-linear Beltrami equation

(2011) Marko Huhtanen et al.   MATHEMATICS OF COMPUTATION

The class of complex symmetric operators is not norm closed

(2011) Sen Zhu et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Real Linear Operator Theory and its Applications

(2010) Marko Huhtanen et al.   INTEGRAL EQUATIONS AND OPERATOR THEORY

Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction

(2010) F. Cannata et al.   JOURNAL OF MATHEMATICAL PHYSICS

{\mathcal {PT}}-symmetric models in curved manifolds

(2010) David Krejčiřík et al.   Journal of Physics A-Mathematical and Theoretical

symmetry and necessary and sufficient conditions for the reality of energy eigenvalues

(2010) Carl M. Bender et al.   PHYSICS LETTERS A

Some new classes of complex symmetric operators

(2010) Stephan Ramon Garcia et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The norm and modulus of a Foguel operator

(2009) Stephan Ramon Garcia   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Complex symmetric partial isometries

(2009) Stephan Ramon Garcia et al.   JOURNAL OF FUNCTIONAL ANALYSIS

J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach

(2009) S Albeverio et al.   Journal of Physics A-Mathematical and Theoretical

Compact Hankel Forms on Planar Domains

(2008) Vasiliy A. Prokhorov et al.   Complex Analysis and Operator Theory

Complex symmetric forms and the emergence of Jordan blocks in analytically extended quantum theory

(2008) Erkki J. Brändas   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Projected iterative algorithms for complex symmetric systems arising in magnetized multicomponent transport

(2008) Vincent Giovangigli et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Interpolation and complex symmetry

(2008) Stephan R. Garcia et al.   TOHOKU MATHEMATICAL JOURNAL

On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

(2007) Peter Arbenz et al.   APPLIED NUMERICAL MATHEMATICS

Unitary equivalence to a complex symmetric matrix: An algorithm

(2007) James E. Tener   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Approximate antilinear eigenvalue problems and related inequalities

(2007) Stephan Ramon Garcia   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY