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Recent Advances in Operator Theory in Hilbert and Krein Spaces

  • Conference proceedings
  • © 2010

Overview

Editors:
  1. Jussi Behrndt

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

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  2. Karl-Heinz Förster

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

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  3. Carsten Trunk

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

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  • Contains a collection of recent original research papers
  • Many well-known specialists in the field of operator theory contributed to this volume
  • Contains new results for problems close to the area of research of Peter Jonas
  • Displays recent advances in modern operator theory in inner product spaces
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 198)

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About this book

The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.

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Keywords

Table of contents (17 papers)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Local Scattering Problem and a Solvable Model of Quantum Network

    • Vadym Adamyan, Boris Pavlov
    Pages 1-10

  3. Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems

    • T. Ya. Azizov, A. Dijksma, K.-H. Förster, P. Jonas
    Pages 11-40

  4. A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators

    • Tomas Ya. Azizov, Victor A. Khatskevich
    Pages 41-48

  5. Moment Problems for Real Measures on the Unit Circle

    • Mihály Bakonyi, Ekaterina V. Lopushanskaya
    Pages 49-60

  6. Finite Rank Perturbations, Scattering Matrices and Inverse Problems

    • Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
    Pages 61-85

  7. Conditions for an Indefinite Sturm-Liouville Riesz Basis Property

    • Paul Binding, Andreas Fleige
    Pages 87-95

  8. Convergence of Diagonal Padé Approximants for a Class of Definitizable Functions

    • Maxim Derevyagin, Vladimir Derkach
    Pages 97-124

  9. Approximation of N ∞ κ -functions II: Convergence of Models

    • Aad Dijksma, Annemarie Luger, Yuri Shondin
    Pages 125-169

  10. Nonnegative Extensions via Embeddings

    • K.-H. Förster, M. M. Nafalska
    Pages 171-183

  11. Fredholm Properties of Unbounded Operators on Interpolation Spaces

    • Kerstin Günther
    Pages 185-210

  12. Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms

    • Seppo Hassi, Zoltán Sebestyén, Henk de Snoo
    Pages 211-227

  13. The Königs Problem and Extreme Fixed Points

    • V. A. Khatskevich, V. A. Senderov
    Pages 229-237

  14. Bisectors, Isometries and Connected Components in Hilbert Spaces

    • Jean-Philippe Labrousse
    Pages 239-258

  15. On Norms in Indefinite Inner Product Spaces

    • Matthias Langer, Annemarie Luger
    Pages 259-264

  16. Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems

    • S. G. Pyatkov
    Pages 265-290

  17. On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane

    • P. Šťovíček, M. Tušek
    Pages 291-304

  18. Note on Interlacing for Hyperbolic Quadratic Pencils

    • Krešimir Veselić
    Pages 305-307
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Editors and Affiliations

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

    Jussi Behrndt, Karl-Heinz Förster

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

    Carsten Trunk

Bibliographic Information

  • Book Title: Recent Advances in Operator Theory in Hilbert and Krein Spaces

  • Editors: Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0346-0180-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0179-5Published: 19 November 2009

  • eBook ISBN: 978-3-0346-0180-1Published: 11 January 2010

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XV, 308

  • Topics: Operator Theory

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