Ebook: 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
Author: Vadim M. Adamyan Igor M. Tkachenko (auth.) Matthias Langer Annemarie Luger Harald Woracek (eds.)
- Tags: Operator Theory, Linear and Multilinear Algebras Matrix Theory, Functional Analysis, Integral Equations
- Series: Operator Theory: Advances and Applications 163
- Year: 2006
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
In March 2004, an international conference was held in Vienna, Austria, on the occasion
of the retirement of Heinz Langer, one of the leading experts in operator theory
of indefinite inner product spaces. This volume contains some of the papers presented
at the meeting. These fifteen refereed articles report 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, e.g., to boundary value problems, the study of orthogonal functions or moment problems.
The book closes with a historical survey paper.
The scientific part of the book is preceeded by some biographical material and some information about the conference itself. This includes the conference program, the list of participants and an updated list of publications of Heinz Langer.
In March 2004, an international conference was held in Vienna, Austria, on the occasion
of the retirement of Heinz Langer, one of the leading experts in operator theory
of indefinite inner product spaces. This volume contains some of the papers presented
at the meeting. These fifteen refereed articles report 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, e.g., to boundary value problems, the study of orthogonal functions or moment problems.
The book closes with a historical survey paper.
The scientific part of the book is preceeded by some biographical material and some information about the conference itself. This includes the conference program, the list of participants and an updated list of publications of Heinz Langer.
In March 2004, an international conference was held in Vienna, Austria, on the occasion
of the retirement of Heinz Langer, one of the leading experts in operator theory
of indefinite inner product spaces. This volume contains some of the papers presented
at the meeting. These fifteen refereed articles report 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, e.g., to boundary value problems, the study of orthogonal functions or moment problems.
The book closes with a historical survey paper.
The scientific part of the book is preceeded by some biographical material and some information about the conference itself. This includes the conference program, the list of participants and an updated list of publications of Heinz Langer.
Content:
Front Matter....Pages i-xxxii
General Solution of the Stieltjes Truncated Matrix Moment Problem....Pages 1-22
Q-functions of Quasi-selfadjoint Contractions....Pages 23-54
A Class of Abstract Boundary Value Problems with Locally Definitizable Functions in the Boundary Condition....Pages 55-73
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I....Pages 75-95
Minimal Models for $ mathcal{N}_kappa ^infty $ -functions....Pages 97-134
Generalized Friedrichs Extensions Associated with Interface Conditions for Sturm-Liouville Operators....Pages 135-145
Spectral Properties of Operator Polynomials with Nonnegative Coefficients....Pages 147-162
Szeg? Pairs of Orthogonal Rational Matrix-valued Functions on the Unit Circle....Pages 163-189
Singularities of Generalized Strings....Pages 191-248
Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function....Pages 249-256
Bi-dimensional Moment Problems and Regular Dilations....Pages 257-274
Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations....Pages 275-298
A Functional Description for the Commutative WJ*-algebras of the D ? + -class....Pages 299-335
On Normal Extensions of Unbounded Operators: IV. A Matrix Construction....Pages 337-350
Directing Mappings in Krein Spaces....Pages 351-363
The Extension Problem for Positive Definite Functions. A Short Historical Survey....Pages 365-379
In March 2004, an international conference was held in Vienna, Austria, on the occasion
of the retirement of Heinz Langer, one of the leading experts in operator theory
of indefinite inner product spaces. This volume contains some of the papers presented
at the meeting. These fifteen refereed articles report 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, e.g., to boundary value problems, the study of orthogonal functions or moment problems.
The book closes with a historical survey paper.
The scientific part of the book is preceeded by some biographical material and some information about the conference itself. This includes the conference program, the list of participants and an updated list of publications of Heinz Langer.
Content:
Front Matter....Pages i-xxxii
General Solution of the Stieltjes Truncated Matrix Moment Problem....Pages 1-22
Q-functions of Quasi-selfadjoint Contractions....Pages 23-54
A Class of Abstract Boundary Value Problems with Locally Definitizable Functions in the Boundary Condition....Pages 55-73
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I....Pages 75-95
Minimal Models for $ mathcal{N}_kappa ^infty $ -functions....Pages 97-134
Generalized Friedrichs Extensions Associated with Interface Conditions for Sturm-Liouville Operators....Pages 135-145
Spectral Properties of Operator Polynomials with Nonnegative Coefficients....Pages 147-162
Szeg? Pairs of Orthogonal Rational Matrix-valued Functions on the Unit Circle....Pages 163-189
Singularities of Generalized Strings....Pages 191-248
Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function....Pages 249-256
Bi-dimensional Moment Problems and Regular Dilations....Pages 257-274
Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations....Pages 275-298
A Functional Description for the Commutative WJ*-algebras of the D ? + -class....Pages 299-335
On Normal Extensions of Unbounded Operators: IV. A Matrix Construction....Pages 337-350
Directing Mappings in Krein Spaces....Pages 351-363
The Extension Problem for Positive Definite Functions. A Short Historical Survey....Pages 365-379
....