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


ISBN: 978-3-7643-7515-7 (Print) 978-3-7643-7516-4 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxxii

  2. Research articles

    1. Chapter

      Pages 1-22

      General Solution of the Stieltjes Truncated Matrix Moment Problem

    2. Chapter

      Pages 23-54

      Q-functions of Quasi-selfadjoint Contractions

    3. Chapter

      Pages 55-73

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

    4. Chapter

      Pages 75-95

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

    5. Chapter

      Pages 97-134

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

    6. Chapter

      Pages 135-145

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

    7. Chapter

      Pages 147-162

      Spectral Properties of Operator Polynomials with Nonnegative Coefficients

    8. Chapter

      Pages 163-189

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

    9. Chapter

      Pages 191-248

      Singularities of Generalized Strings

    10. Chapter

      Pages 249-256

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

    11. Chapter

      Pages 257-274

      Bi-dimensional Moment Problems and Regular Dilations

    12. Chapter

      Pages 275-298

      Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations

    13. Chapter

      Pages 299-335

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

    14. Chapter

      Pages 337-350

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

    15. Chapter

      Pages 351-363

      Directing Mappings in Krein Spaces

  3. Survey Article

    1. Chapter

      Pages 365-379

      The Extension Problem for Positive Definite Functions. A Short Historical Survey