Advertisement

Classes of Linear Operators Vol. I

  • Israel Gohberg
  • Seymour Goldberg
  • Marinus A. Kaashoek

Part of the Operator Theory: Advances and Applications book series (OT, volume 49)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Introduction

    1. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 1-2
  3. General Spectral Theory

    1. Front Matter
      Pages 3-3
    2. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 4-24
    3. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 25-35
    4. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 36-48
    5. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 49-58
    6. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 59-87
  4. Classes of Compact Operators

    1. Front Matter
      Pages 95-95
    2. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 96-108
    3. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 109-137
    4. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 138-147
    5. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 148-162
    6. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 163-175
  5. Fredholm Operators: General Theory and Wiener-Hopf Integral Operators

    1. Front Matter
      Pages 183-183
    2. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 184-214
    3. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 215-231
    4. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 232-281
  6. Classes of Unbounded Linear Operators

    1. Front Matter
      Pages 287-287
    2. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 288-322
    3. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 323-340
    4. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 341-368
    5. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 369-381
    6. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 382-407
    7. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 408-446
  7. Back Matter
    Pages 454-468

About this book

Introduction

After the book "Basic Operator Theory" by Gohberg-Goldberg was pub­ lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex­ pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in­ stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol­ umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first.

Keywords

Area Eigenvalue Fusion Volume boundary element method calculus differential operator integral operator operator theory perturbation perturbation theory presentation spectral theory

Authors and affiliations

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

Bibliographic information