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Classes of Linear Operators Vol. II

  • Israel Gohberg
  • Marinus A. Kaashoek
  • Seymour Goldberg

Part of the Operator Theory Advances and Applications book series (OT, volume 63)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 469-470
  3. Triangular Representations

    1. Front Matter
      Pages 471-471
    2. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 472-501
    3. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 502-512
    4. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 513-560
  4. Classes of Toeplitz Operators

    1. Front Matter
      Pages 561-561
    2. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 562-582
    3. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 583-622
    4. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 623-651
  5. Contractive Operators and Characteristic Operator Functions

    1. Front Matter
      Pages 653-653
    2. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 654-664
    3. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 665-699
    4. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 700-786
  6. Banach Algebras and Algebras of Operators

    1. Front Matter
      Pages 787-787
    2. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 788-810
    3. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 811-842
    4. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 843-869
    5. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 870-890
  7. Extension and Completion Problems

    1. Front Matter
      Pages 891-891
    2. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 892-904
    3. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 905-938
    4. I. Gohberg, M. A. Kaashoek, S. Goldberg
      Pages 939-982
  8. Back Matter
    Pages 983-1024

About this book

Introduction

These two volumes constitute texts for graduate courses in linear operator theory. The reader is assumed to have a knowledge of both complex analysis and the first elements of operator theory. The texts are intended to concisely present a variety of classes of linear operators, each with its own character, theory, techniques and tools. For each of the classes, various differential and integral operators motivate or illustrate the main results. Although each class is treated seperately and the first impression may be that of many different theories, interconnections appear frequently and unexpectedly. The result is a beautiful, unified and powerful theory. The classes we have chosen are representatives of the principal important classes of operators, and we believe that these illustrate the richness of operator theory, both in its theoretical developments and in its applicants. Because we wanted the books to be of reasonable size, we were selective in the classes we chose and restricted our attention to the main features of the corresponding theories. However, these theories have been updated and enhanced by new developments, many of which appear here for the first time in an operator-theory text. In the selection of the material the taste and interest of the authors played an important role.

Keywords

Mathematik complex analysis functional analysis science spectral theory

Authors and affiliations

  • Israel Gohberg
    • 1
  • Marinus A. Kaashoek
    • 2
  • Seymour Goldberg
    • 3
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael
  2. 2.Faculteit Wiskunde en InformaticaVrije UniversiteitAmsterdamThe Netherlands
  3. 3.Department of MathematicsUniversity of MarylandCollege ParkUSA

Bibliographic information