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Banach Algebra Techniques in Operator Theory

  • Textbook
  • © 1998

Overview

Authors:
  1. Ronald G. Douglas

    1. Department of Mathematics, Texas A & M University, College Station, USA

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  • Second edition of classic book in its field
  • Should appeal to a new generation of readers
  • Source notes, which suggest additional reading along with comments, are included at the end of each chapter
  • Contains a large number of problems of varying difficulty, following each chapter
  • Assumes only the standard familiarity with general topology, measure theory, and algebra

Part of the book series: Graduate Texts in Mathematics (GTM, volume 179)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Banach Spaces

    • Ronald G. Douglas
    Pages 1-29

  3. Banach Algebras

    • Ronald G. Douglas
    Pages 30-57

  4. Geometry of Hilbert Space

    • Ronald G. Douglas
    Pages 58-73

  5. Operators on Hilbert Space and C*-Algebras

    • Ronald G. Douglas
    Pages 74-107

  6. Compact Operators, Fredholm Operators, and Index Theory

    • Ronald G. Douglas
    Pages 108-132

  7. The Hardy Spaces

    • Ronald G. Douglas
    Pages 133-157

  8. Toeplitz Operators

    • Ronald G. Douglas
    Pages 158-184

  9. Back Matter

    Pages 185-197
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Keywords

About this book

Operator theory is a diverse area of mathematics which derives its impetus and motivation from several sources. It began with the study of integral equations and now includes the study of operators and collections of operators arising in various branches of physics and mechanics. The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior-first year graduate courses in general topology, measure theory, and algebra. At the end of each chapter there are source notes which suggest additional reading along with giving some comments on who proved what and when. In addition, following each chapter is a large number of problems of varying difficulty. This new edition will appeal to a new generation of students seeking an introduction to operator theory.

Authors and Affiliations

  • Department of Mathematics, Texas A & M University, College Station, USA

    Ronald G. Douglas

Bibliographic Information

  • Book Title: Banach Algebra Techniques in Operator Theory

  • Authors: Ronald G. Douglas

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1656-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 1998

  • Softcover ISBN: 978-0-387-98377-6Published: 27 July 1998

  • eBook ISBN: 978-1-4612-1656-8Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XVI, 198

  • Additional Information: Originally published by Academic Press in 1972

  • Topics: Analysis

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