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  • © 2012

A Panorama of Modern Operator Theory and Related Topics

The Israel Gohberg Memorial Volume

Birkhäuser
  • 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
  2. B-regular J-inner Matrix-valued Functions

    • Damir Z. Arov, Harry Dym
    Pages 51-73
  3. Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

    • Harm Bart, Torsten Ehrhardt, Bernd Silbermann
    Pages 123-153
  4. Canonical Models for Bi-isometries

    • H. Bercovici, R. G. Douglas, C. Foias
    Pages 177-205
  5. First-order Trace Formulae for the Iterates of the Fox–Li Operator

    • Albrecht Böttcher, Sergei Grudsky, Daan Huybrechs, Arieh Iserles
    Pages 207-224
  6. Factorization Versus Invertibility of Matrix Functions on Compact Abelian Groups

    • Alex Brudnyi, Leiba Rodman, Ilya M. Spitkovsky
    Pages 225-239
  7. Invertibility of Certain Fredholm Operators

    • Israel Feldman, Nahum Krupnik
    Pages 345-357
  8. Bernstein Widths and Super Strictly Singular Inclusions

    • F. L. Hernández, Y. Raynaud, E. M. Semenov
    Pages 359-376
  9. The Inverse of a Two-level Positive Definite Toeplitz Operator Matrix

    • Selcuk Koyuncu, Hugo J. Woerdeman
    Pages 387-401
  10. A Review of Canonical Forms for Selfadjoint Matrix Polynomials

    • Peter Lancaster, Ion Zaballa
    Pages 425-443

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access