Derived Functors in Functional Analysis

  • Authors
  • Jochen Wengenroth

Part of the Lecture Notes in Mathematics book series (LNM, volume 1810)

Table of contents

  1. Front Matter
    Pages N2-VII
  2. Jochen Wengenroth
    Pages 1-6
  3. Jochen Wengenroth
    Pages 7-15
  4. Jochen Wengenroth
    Pages 59-76
  5. Jochen Wengenroth
    Pages 77-107
  6. Jochen Wengenroth
    Pages 109-118
  7. Jochen Wengenroth
    Pages 119-127
  8. Jochen Wengenroth
    Pages 129-132
  9. Jochen Wengenroth
    Pages 133-134
  10. Back Matter
    Pages 135-137

About this book

Introduction

The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators.
The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.

Keywords

Homological algebra derived functors distribution functional analysis homological methods locally convex spaces

Bibliographic information

  • DOI https://doi.org/10.1007/b80165
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-00236-9
  • Online ISBN 978-3-540-36211-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book