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Linear Functional Analysis

An Application-Oriented Introduction

  • Hans Wilhelm Alt

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Hans Wilhelm Alt
    Pages 1-8
  3. Hans Wilhelm Alt
    Pages 9-36
  4. Hans Wilhelm Alt
    Pages 37-94
  5. Hans Wilhelm Alt
    Pages 95-140
  6. Hans Wilhelm Alt
    Pages 141-162
  7. Hans Wilhelm Alt
    Pages 163-218
  8. Hans Wilhelm Alt
    Pages 219-226
  9. Hans Wilhelm Alt
    Pages 227-283
  10. Hans Wilhelm Alt
    Pages 285-318
  11. Hans Wilhelm Alt
    Pages 319-372
  12. Hans Wilhelm Alt
    Pages 373-387
  13. Hans Wilhelm Alt
    Pages 389-418
  14. Back Matter
    Pages 419-435

About this book

Introduction

This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory.

A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

Keywords

Banach Space Hilbert Space Functional Analysis Partial Differential Equations Spectral theory

Authors and affiliations

  • Hans Wilhelm Alt
    • 1
  1. 1.Department of MathematicsTechnische Universität München Garching near MunichGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-7280-2
  • Copyright Information Springer-Verlag London 2016
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4471-7279-6
  • Online ISBN 978-1-4471-7280-2
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site
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