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A Panorama of Modern Operator Theory and Related Topics

The Israel Gohberg Memorial Volume

  • Book
  • © 2012

Overview

Editors:
  1. Harry Dym

    1. Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

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  2. Marinus A. Kaashoek

    1. Dept. Mathematics &, Computer Sciences, Free University Amsterdam, Amsterdam, Netherlands

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  3. Peter Lancaster

    1. Dept. Mathematics & Statistics, University of Calgary, Calgary, Canada

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  4. Heinz Langer

    1. Inst. Analysis und Scientific Computing, TU Wien, Wien, Austria

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  5. Leonid Lerer

    1. Dept. Mathematics, Technion Israel Institute of Technology, Haifa, Israel

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  • Written by top experts in operator theory and its applications reflecting the exceptionally wide range of Gohberg's mathematical achievements
  • State of the art contributions to single and multivariable operator theory and its applications
  • Not restricted to a specific issue. Rather it provides a wide picture of various directions, theoretical as well as applied ones
  • Deals with topics that are central for operator theory and its applications and have been initiated and/or developed by Israel Gohberg
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 218)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. An Interpolation Problem for Functions with Values in a Commutative Ring

    • Daniel Alpay, Haim Attia
    Pages 1-17

  3. Minimal and Maximal Invariant Spaces of Holomorphic Functions on Bounded Symmetric Domains

    • Jonathan Arazy, Harald Upmeier
    Pages 19-49

  4. B-regular J-inner Matrix-valued Functions

    • Damir Z. Arov, Harry Dym
    Pages 51-73

  5. Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk

    • Joseph A. Ball, Vladimir Bolotnikov
    Pages 75-122

  6. Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

    • Harm Bart, Torsten Ehrhardt, Bernd Silbermann
    Pages 123-153

  7. Banach Algebras of Commuting Toeplitz Operators on the Unit Ball via the Quasi-hyperbolic Group

    • Wolfram Bauer, Nikolai Vasilevski
    Pages 155-175

  8. Canonical Models for Bi-isometries

    • H. Bercovici, R. G. Douglas, C. Foias
    Pages 177-205

  9. First-order Trace Formulae for the Iterates of the Fox–Li Operator

    • Albrecht Böttcher, Sergei Grudsky, Daan Huybrechs, Arieh Iserles
    Pages 207-224

  10. Factorization Versus Invertibility of Matrix Functions on Compact Abelian Groups

    • Alex Brudnyi, Leiba Rodman, Ilya M. Spitkovsky
    Pages 225-239

  11. Banded Matrices, Banded Inverses and Polynomial Representations for Semi-separable Operators

    • Patrick Dewilde
    Pages 241-268

  12. Description of Helson-Szegő Measures in Terms of the Schur Parameter Sequences of Associated Schur Functions

    • Vladimir K. Dubovoy, Bernd Fritzsche, Bernd Kirstein
    Pages 269-297

  13. Divide and Conquer Method for Eigenstructure of Quasiseparable Matrices Using Zeroes of Rational Matrix Functions

    • Y. Eidelman, I. Haimovici
    Pages 299-328

  14. An Identity Satisfied by Certain Orthogonal Vector-valued Functions

    • Robert L. Ellis
    Pages 329-343

  15. Invertibility of Certain Fredholm Operators

    • Israel Feldman, Nahum Krupnik
    Pages 345-357

  16. Bernstein Widths and Super Strictly Singular Inclusions

    • F. L. Hernández, Y. Raynaud, E. M. Semenov
    Pages 359-376

  17. On Inversion of Certain Structured Linear Transformations Related to Block Toeplitz Matrices

    • M. A. Kaashoek, F. van Schagen
    Pages 377-386

  18. The Inverse of a Two-level Positive Definite Toeplitz Operator Matrix

    • Selcuk Koyuncu, Hugo J. Woerdeman
    Pages 387-401

  19. Parametrizing Structure Preserving Transformations of Matrix Polynomials

    • Peter Lancaster, Ion Zaballa
    Pages 403-424

  20. A Review of Canonical Forms for Selfadjoint Matrix Polynomials

    • Peter Lancaster, Ion Zaballa
    Pages 425-443
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Keywords

About this book

This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

Editors and Affiliations

  • Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Harry Dym

  • Dept. Mathematics &, Computer Sciences, Free University Amsterdam, Amsterdam, Netherlands

    Marinus A. Kaashoek

  • Dept. Mathematics & Statistics, University of Calgary, Calgary, Canada

    Peter Lancaster

  • Inst. Analysis und Scientific Computing, TU Wien, Wien, Austria

    Heinz Langer

  • Dept. Mathematics, Technion Israel Institute of Technology, Haifa, Israel

    Leonid Lerer

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