Behrndt J., Förster K.-H., Langer H., Trunk C. (eds.) Spectral Theory in Inner Product Spaces and Applications

Basel: Birkhäuser, 2009. — 261 p.This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations.Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation
On Domains of Powers of Linear Operators and Finite Rank Perturbations
Finite-dimensional de Branges Subspaces Generated by Majorants
Trace Formulae for Dissipative and Coupled Scattering Systems.
Approximation of N κ ∞ -functions I: Models and Regularization
On the Block Numerical Range of Nonnegative Matrices
A Quantum Dot with Impurity in the Lobachevsky Plane
One-dimensional Perturbations, Asymptotic Expansions, and Spectral Gaps
Abstract Kinetic Equations with Positive Collision Operators
On the Structure of Semigroups of Operators Acting in Spaces with Indefinite Metric
G -Self-adjoint Operators in Almost Pontryagin Spaces
On a Kreĭn Criterion
Two-sided Weighted Shifts Are ‘Almost Krein’ Normal