Operator Theory and Indefinite Inner Product Spaces

Presented on the Occasion of the Retirement of Heinz Langer in the Colloquium on Operator Theory, Vienna, March 2004

By: Matthias Langer (Editor), Annemarie Luger (Editor), Harald Woracek (Editor)

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Hardcover | 16 February 2006

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A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.

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Introduction
Preface	p. ix
Laudation	p. xi
Speech of Heinz Langer	p. xvii
Conference Programme	p. xx
List of Participants	p. xxiv
Bibliography of Heinz Langer	p. xxx
Research articles
General Solution of the Stieltjes Truncated Matrix Moment Problem	p. 1
Q-functions of Quasi-selfadjoint Contractions	p. 23
A Class of Abstract Boundary Value Problems with Locally Definitizable Functions in the Boundary Condition	p. 55
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I	p. 75
Minimal Models for N[superscript infinity subscript kappa]-functions	p. 97
Generalized Friedrichs Extensions Associated with Interface Conditions for Sturm-Liouville Operators	p. 135
Spectral Properties of Operator Polynomials with Nonnegative Coefficients	p. 147
Szego Pairs of Orthogonal Rational Matrix-valued Functions on the Unit Circle	p. 163
Singularities of Generalized Strings	p. 191
Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function	p. 249
Bi-dimensional Moment Problems and Regular Dilations	p. 257
Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations	p. 275
A Functional Description for the Commutative W J*-algebras of the D[superscript + subscript kappa]-class	p. 299
On Normal Extensions of Unbounded Operators: IV. A Matrix Construction	p. 337
Directing Mappings in Krein Spaces	p. 351
Survey Article
The Extension Problem for Positive Definite Functions. A Short Historical Survey	p. 365
Table of Contents provided by Ingram. All Rights Reserved.

Operator Theory and Indefinite Inner Product Spaces

Presented on the Occasion of the Retirement of Heinz Langer in the Colloquium on Operator Theory, Vienna, March 2004

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Hardcover

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