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  • Book
  • © 1990

Classes of Linear Operators Vol. I

Birkhäuser

Authors:

  1. Israel Gohberg

    1. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel

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  2. Seymour Goldberg

    1. Department of Mathematics, University of Maryland, College Park, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Marinus A. Kaashoek

    1. Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, The Netherlands

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (20 chapters)

  1. Front Matter

    Pages I-XIII
    PDF

  2. Introduction

    1. Introduction

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 1-2

  3. General Spectral Theory

    1. Front Matter

      Pages 3-3
      PDF

    2. Riesz Projections and Functional Calculus

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 4-24

    3. Eigenvalues of Finite Type

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 25-35

    4. Analytic Equivalence

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 36-48

    5. Linear Operator Pencils

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 49-58

    6. Spectral Theory for Bounded Selfadjoint Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 59-87

  4. Classes of Compact Operators

    1. Front Matter

      Pages 95-95
      PDF

    2. Singular Values of Compact Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 96-108

    3. Trace and Determinant

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 109-137

    4. Hilbert-Schmidt Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 138-147

    5. Integral Operators with Semi-Separable Kernels

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 148-162

    6. The Growth of the Resolvent Operator and Applications to Completeness

      • 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
      PDF

    2. Fredholm Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 184-214

    3. Wiener-Hopf Integral Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 215-231

    4. Wiener-Hopf Integral Operators with Rational Symbols

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 232-281

  6. Classes of Unbounded Linear Operators

    1. Front Matter

      Pages 287-287
      PDF

    2. Unbounded Linear Operators

      • Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
      Pages 288-322
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About this book

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.
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Keywords

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Authors and Affiliations

  • School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel

    Israel Gohberg

  • Department of Mathematics, University of Maryland, College Park, USA

    Seymour Goldberg

  • Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, The Netherlands

    Marinus A. Kaashoek

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Bibliographic Information

  • Book Title: Classes of Linear Operators Vol. I

  • Authors: Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-7509-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1990

  • Softcover ISBN: 978-3-0348-7511-0Published: 03 October 2013

  • eBook ISBN: 978-3-0348-7509-7Published: 09 March 2013

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XIII, 468

  • Topics: Analysis

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Buy it now

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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