A Course in Functional Analysis

  • John B. Conway

Part of the Graduate Texts in Mathematics book series (GTM, volume 96)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. John B. Conway
    Pages 1-25
  3. John B. Conway
    Pages 26-64
  4. John B. Conway
    Pages 65-101
  5. John B. Conway
    Pages 102-126
  6. John B. Conway
    Pages 127-169
  7. John B. Conway
    Pages 170-190
  8. John B. Conway
    Pages 237-260
  9. John B. Conway
    Pages 261-309
  10. John B. Conway
    Pages 310-352
  11. John B. Conway
    Pages 353-374
  12. Back Matter
    Pages 375-406

About this book

Introduction

Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

Keywords

Analysis Area Banach space C*-algebra Hilbert space banach spaces eXist functional functional analysis geometry mathematics operator operator theory spectral theory topology

Authors and affiliations

  • John B. Conway
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3828-5
  • Copyright Information Springer-Verlag New York 1985
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-3830-8
  • Online ISBN 978-1-4757-3828-5
  • Series Print ISSN 0072-5285
  • About this book