Recent Advances in Operator Theory in Hilbert and Krein Spaces

ISBN-13: 9783034601795 / Angielski / Twarda / 2009 / 308 str.

Opis

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."

Spis treści

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.

Blurb

The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.