Recent Advances in Operator Theory in Hilbert and Krein Spac

1. Auflage. 2009
ISBN: 978-3-0346-0179-5
Verlag: Springer

Buch, Englisch, Band 198, 308 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 749 g

Reihe: Operator Theory: Advances and Applications

Thepresentbookisamemorialvolumedevotedtoourfriend,colleagueandteacher Peter Jonas who passed away on July 18, 2007. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by participants of the 7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, which was held at the Technische Universit¨ at Berlin, Germany, December 13 to 16, 2007. The articles in this v- ume contain new results for problems close to the area of research of Peter Jonas: Spectralandperturbationproblemsfor operatorsininner productspaces,gener- ized Nevanlinna functions and de?nitizable functions, scattering theory, extension theory for symmetric operators, ?xed points, hyperbolic matrix polynomials, - ment problems, inde?nite spectral and Sturm-Liouville problems, and invariant subspace problems. It is a pleasure to acknowledge the substantial ?nancial support for the 7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis received from the – Berlin Mathematical School (BMS) – Gesellschaft fur ¨ Angewandte Mathematik und Mechanik (GAMM) – International Mathematical Union, Commission on Development and Exchanges – Institute of Mathematics of the Technische Universit¨ at Berlin The Editors Peter Jonas (1941–2007) In Memoriam Peter Jonas (1941–2007) Jussi Behrndt, Karl-Heinz F¨ orster and Carsten Trunk Peter Jonas was born on July 18, 1941, in Memel, now Klaipeda, which was at thattime the mosteasterntownofEastPrussia.After the war,PeterJonasmoved with his mother and grandmother to Blankenfelde – a small village near Berlin, where he lived until the end of his school education.

Zielgruppe

Research

Autoren/Hrsg.

Behrndt, Jussi

Förster, Karl-Heinz

Trunk, Carsten

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik

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.