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Contributions to Operator Theory in Spaces with an Indefinite Metric

The Heinz Langer Anniversary Volume

  • Book
  • © 1998

Overview

Editors:
  1. Aalt Dijksma

    1. Department of Mathematics, University of Groningen, Groningen, The Netherlands

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  2. Israel Gohberg

    1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

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  3. Marinus A. Kaashoek

    1. Department of Mathematics, Free University, Amsterdam, The Netherlands

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  4. Reinhard Mennicken

    1. NWF 1, Mathematics, University of Regensburg, Regensburg, Germany

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 106)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-vii
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  2. Heinz Langer and his work

    • Aad Dijksma, Israel Gohberg
    Pages 1-22

  3. On the spectra of some classes of quadratic operator pencils

    • V. Adamyan, V. Pivovarchik
    Pages 23-36

  4. Special realizations for Schur upper triangular operators

    • D. Alpay, Y. Peretz
    Pages 37-90

  5. On the defect of noncontractive operators in Kreĭn spaces: a new formula and some applications

    • Tomas Ya. Azizov, Aad Dijksma, Vladimir L. Khatskevich
    Pages 91-112

  6. Positive differential operators in the Krein space L2(ℝn)

    • Branko Ćurgus, Branko Najman
    Pages 113-129

  7. Singular values of positive pencils and applications

    • Robert L. Ellis, Israel Gohberg, David C. Lay
    Pages 131-146

  8. Perturbations of Krein spaces preserving the nonsingularity of the critical point infinity

    • Andreas Fleige, Branko Najman
    Pages 147-155

  9. An analysis of the block structure of j qq -inner functions

    • Bernd Fritzsche, Bernd Kirstein, Karsten Müller
    Pages 157-185

  10. Selfadjoint extensions of the orthogonal sum of symmetric relations, II

    • Seppo Hassi, Michael Kaltenbäck, Henk De Snoo
    Pages 187-200

  11. Some interpolation problems of Nevanlinna-Pick type. The Kreĭn-Langer method

    • Seppo Hassi, Henk De Snoo, Harald Woracek
    Pages 201-216

  12. On the spectral representation for singular selfadjoint boundary eigenvalue problems

    • Don Hinton, Albert Schneider
    Pages 217-251

  13. Some characteristics of a linear manifold in a Kreĭn space and their applications

    • E. I. Iokhvidov
    Pages 253-257

  14. Riggings and relatively form bounded perturbations of nonnegative operators in Kreĭn spaces

    • Peter Jonas
    Pages 259-273

  15. Norm bounds for Volterra integral operators and time-varying linear systems with finite horizon

    • M. A. Kaashoek, A. C. M. Ran
    Pages 275-290

  16. The numerical range of selfadjoint matrix polynomials

    • Peter Lancaster, John Maroulas, Peter Zizler
    Pages 291-304

  17. Spectral properties of a matrix polynomial connected with a component of its numerical range

    • A. Markus, J. Maroulas, P. Psarrakos
    Pages 305-308

  18. Lyapunov stability of a perturbed multiplication operator

    • S. N. Naboko, C. Tretter
    Pages 309-326

  19. Multiplicative perturbations of positive operators in Krein spaces

    • B. Najman, K. Veselić
    Pages 327-336

  20. On the number of negative squares of certain functions

    • Zoltán Sasvári
    Pages 337-353
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Keywords

About this book

This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday.

The book begins with his biography and list of publications. It contains a selection of research papers, most of which are devoted to spectral analysis of operators or operator pencils with applications to ordinary and partial differential equations. Other papers deal with time-varying systems, interpolation and factorization problems, and topics from mathematical physics. About half of the papers contain further developments in the theory of operators in spaces with an indefinite metric and treat new applications. The book is of interest to a wide audience of pure and applied mathematicians.

Editors and Affiliations

  • Department of Mathematics, University of Groningen, Groningen, The Netherlands

    Aalt Dijksma

  • School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  • Department of Mathematics, Free University, Amsterdam, The Netherlands

    Marinus A. Kaashoek

  • NWF 1, Mathematics, University of Regensburg, Regensburg, Germany

    Reinhard Mennicken

Bibliographic Information

  • Book Title: Contributions to Operator Theory in Spaces with an Indefinite Metric

  • Book Subtitle: The Heinz Langer Anniversary Volume

  • Editors: Aalt Dijksma, Israel Gohberg, Marinus A. Kaashoek, Reinhard Mennicken

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8812-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Hardcover ISBN: 978-3-7643-6003-0Published: 01 October 1998

  • Softcover ISBN: 978-3-0348-9782-2Published: 13 October 2012

  • eBook ISBN: 978-3-0348-8812-7Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 421

  • Topics: Analysis

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