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Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

  • Conference proceedings
  • © 2006

Overview

Editors:
  1. Karl-Heinz Förster

    1. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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  2. Peter Jonas

    1. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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  3. Heinz Langer

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

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  • Selected and peer-reviewed contributions originating from a workshop at the TU Berlin in December 2003
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 162)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Partial Non-stationary Perturbation Determinants for a Class of J-symmetric Operators

    • Vadim Adamyan, Peter Jonas, Heinz Langer
    Pages 1-17

  3. Reproducing Kernel Spaces of Series of Fueter Polynomials

    • Daniel Alpay, Michael Shapiro, Dan Volok
    Pages 19-45

  4. Extremal Extensions of a C(α)-suboperator and Their Representations

    • Yury Arlinskii
    Pages 47-69

  5. A Variational Principle for Linear Pencils of Forms

    • P. Binding, R. Hryniv
    Pages 71-83

  6. Selfadjoint Extensions with Several Gaps: Finite Deficiency Indices

    • J.F. Brasche, M.M. Malamud, H. Neidhardt
    Pages 85-101

  7. The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach Space

    • R. Denk, M. Möller, C. Tretter
    Pages 103-116

  8. A Factorization Model for the Generalized Friedrichs Extension in a Pontryagin Space

    • Vladimir Derkach, Seppo Hassi, Henk de Snoo
    Pages 117-133

  9. Generalized Schur Functions and Augmented Schur Parameters

    • Aad Dijksma, Gerald Wanjala
    Pages 135-144

  10. On Nonmonic Quadratic Matrix Polynomials with Nonnegative Coefficients

    • K. -H. Förster, B. Nagy
    Pages 145-163

  11. On Operator Representations of Locally Definitizable Functions

    • Peter Jonas
    Pages 165-190

  12. Symmetric Relations of Finite Negativity

    • M. Kaltenbäck, H. Winkler, H. Woracek
    Pages 191-210

  13. An Operator-theoretic Approach to a Multiple Point Nevanlinna-Pick Problem for Generalized Carathéodory Functions

    • Lutz Klotz, Andreas Lasarow
    Pages 211-229

  14. Bounded Normal Operators in Pontryagin Spaces

    • Heinz Langer, Franciszek Hugon Szafraniec
    Pages 231-251

  15. Scalar Generalized Nevanlinna Functions: Realizations with Block Operator Matrices

    • Matthias Langer, Annemarie Luger
    Pages 253-276

  16. Polar Decompositions of Normal Operators in Indefinite Inner Product Spaces

    • Christian Mehl, André C.M. Ran, Leiba Rodman
    Pages 277-292

  17. Bounds for Contractive Semigroups and Second-Order Systems

    • Krešimir Veselić
    Pages 293-308
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About this book

This volume contains 16 original research papers written by participants of the 3rd Workshop on Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems, which was held at the Technische Universität Berlin, Germany, December 12–14, 2003. They deal with spectral and perturbation theory of linear operators in indefinite inner product spaces and their applications. The topics include extension theory of symmetric operators, normal operators, realization theory and models of generalized Nevanlinna functions, interpolation problems, reproducing kernel spaces, matrix and operator pencils, locally definitizable functions, and semigroups.

Editors and Affiliations

  • Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Karl-Heinz Förster, Peter Jonas

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

    Heinz Langer

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