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Toeplitz Operators and Related Topics

The Harold Widom Anniversary Volume Workshop on Toeplitz and Wiener-Hopf Operators, Santa Cruz, California, September 20–22,1992

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. E. L. Basor
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  2. I. Gohberg
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Part of the book series: Operator Theory: Advances and Applications (OT, volume 71)

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Table of contents (11 papers)

  1. Front Matter

    Pages I-XIX
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  2. Eigenvalue Distribution for Nonselfadjoint Toeplitz Matrices

    • Harold Widom
    Pages 1-8

  3. Random Hermitian Matrices and (Nonrandom) Toeplitz Matrices

    • Harold Widom
    Pages 9-15

  4. The Extended Fisher-Hartwig Conjecture for Symbols with Multiple Jump Discontinuities

    • Estelle L. Basor, Kent E. Morrison
    Pages 16-28

  5. A Relative Toeplitz-Hausdorff Theorem

    • Hari Bercovici, Ciprian Foias, Allen Tannenbaum
    Pages 29-32

  6. Operator-Valued Szegö-Widom Limit Theorems

    • Albrecht Böttcher, Bernd Silbermann
    Pages 33-53

  7. The Adamjan-Arov-Krein Theorem in General and Regular Representations of R2 and the Symplectic Plane

    • Mischa Cotlar, Cora Sadosky
    Pages 54-78

  8. Projection Method for Block Toeplitz Operators With Operator-Valued Symbols

    • I. Gohberg, M. A. Kaashoek
    Pages 79-104

  9. Szegö-Widom-Type Limit Theorems

    • Israel Gohberg, Naum Krupnik
    Pages 105-121

  10. (Semi)-Fredholmness of Convolution Operators on the Spaces of Bessel Potentials

    • Yuri Karlovich, Ilya Spitkovsky
    Pages 122-152

  11. Kernels of Toeplitz Operators

    • Donald Sarason
    Pages 153-164

  12. A fixed point approach to Nehari’s problem and its applications

    • Sergei Treil, Alexander Volberg
    Pages 165-186

  13. Back Matter

    Pages 187-188
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Keywords

About this book

This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.

Bibliographic Information

  • Book Title: Toeplitz Operators and Related Topics

  • Book Subtitle: The Harold Widom Anniversary Volume Workshop on Toeplitz and Wiener-Hopf Operators, Santa Cruz, California, September 20–22,1992

  • Editors: E. L. Basor, I. Gohberg

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8543-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1994

  • Hardcover ISBN: 978-3-7643-5068-0Published: 01 July 1994

  • Softcover ISBN: 978-3-0348-9672-6Published: 21 November 2012

  • eBook ISBN: 978-3-0348-8543-0Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XIX, 188

  • Topics: Analysis

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