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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

  • Book
  • © 2006

Overview

Editors:
  1. Matthias Langer

    1. Department of Mathematics, University of Strathclyde, Glasgow, UK

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  2. Annemarie Luger

    1. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

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  3. Harald Woracek

    1. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

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  • The scientific part of the book is preceeded by some biographical material and some information about the conference itself, including the conference program, the list of participants and an updated list of publications of Heinz Langer
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 163)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxxii
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  2. Research articles

    1. General Solution of the Stieltjes Truncated Matrix Moment Problem

      • Vadim M. Adamyan, Igor M. Tkachenko
      Pages 1-22

    2. Q-functions of Quasi-selfadjoint Contractions

      • Yury Arlinskii, Seppo Hassi, Henk de Snoo
      Pages 23-54

    3. A Class of Abstract Boundary Value Problems with Locally Definitizable Functions in the Boundary Condition

      • Jussi Behrndt
      Pages 55-73

    4. Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions, I

      • Paul Binding, Branko Ćurgus
      Pages 75-95

    5. Minimal Models for \( \mathcal{N}_\kappa ^\infty \) -functions

      • Aad Dijksma, Annemarie Luger, Yuri Shondin
      Pages 97-134

    6. Generalized Friedrichs Extensions Associated with Interface Conditions for Sturm-Liouville Operators

      • Andreas Fleige, Seppo Hassi, Henk de Snoo, Henrik Winkler
      Pages 135-145

    7. Spectral Properties of Operator Polynomials with Nonnegative Coefficients

      • Karl-Heinz Förster, Béla Nagy
      Pages 147-162

    8. Szegő Pairs of Orthogonal Rational Matrix-valued Functions on the Unit Circle

      • Bernd Fritzsche, Bernd Kirstein, Andreas Lasarow
      Pages 163-189

    9. Singularities of Generalized Strings

      • Michael Kaltenbäck, Henrik Winkler, Harald Woracek
      Pages 191-248

    10. Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function

      • Levon V. Mikaelyan
      Pages 249-256

    11. Bi-dimensional Moment Problems and Regular Dilations

      • Dan Popovici
      Pages 257-274

    12. Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations

      • Uwe Prells, Peter Lancaster
      Pages 275-298

    13. A Functional Description for the Commutative WJ*-algebras of the D + κ -class

      • Vladimir Strauss
      Pages 299-335

    14. On Normal Extensions of Unbounded Operators: IV. A Matrix Construction

      • Franciszek Hugon Szafraniec
      Pages 337-350

    15. Directing Mappings in Krein Spaces

      • Björn Textorius
      Pages 351-363
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Strathclyde, Glasgow, UK

    Matthias Langer

  • Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria

    Annemarie Luger, Harald Woracek

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