Behrndt / Förster / Trunk Recent Advances in Operator Theory in Hilbert and Krein Spaces

1. Auflage 2010
ISBN: 978-3-0346-0180-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 308 Seiten, Web PDF

Reihe: Mathematics and Statistics (R0)

The present book is a memorial volume devoted to Peter Jonas. It contains a collection of recent original research papers written by well-known specialists in the field of operator theory in Hilbert and Krein spaces. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral, perturbation and scattering theory for linear operators and the analysis of related classes of functions.

Zielgruppe

Research

Autoren/Hrsg.

Behrndt, Jussi

Förster, Karl-Heinz

Trunk, Carsten

Inhaltsverzeichnis

Local Scattering Problem and a Solvable Model of Quantum Network.- Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems.- A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators.- Moment Problems for Real Measures on the Unit Circle.- Finite Rank Perturbations, Scattering Matrices and Inverse Problems.- Conditions for an Indefinite Sturm-Liouville Riesz Basis Property.- Convergence of Diagonal Padé Approximants for a Class of Definitizable Functions.- Approximation of N ? ? -functions II: Convergence of Models.- Nonnegative Extensions via Embeddings.- Fredholm Properties of Unbounded Operators on Interpolation Spaces.- Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms.- The Königs Problem and Extreme Fixed Points.- Bisectors, Isometries and Connected Components in Hilbert Spaces.- On Norms in Indefinite Inner Product Spaces.- Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems.- On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane.- Note on Interlacing for Hyperbolic Quadratic Pencils.