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Derived Functors in Functional Analysis

  • Book
  • © 2003

Overview

Authors:
  1. Jochen Wengenroth
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1810)

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Table of contents (9 chapters)

  1. Front Matter

    Pages N2-VII
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  2. 1. Introduction

    • Jochen Wengenroth
    Pages 1-6

  3. 2. Notions from homological algebra

    • Jochen Wengenroth
    Pages 7-15

  4. 3. The projective limit functor for countable spectra

    • Jochen Wengenroth
    Pages 17-57

  5. 4. Uncountable projective spectra

    • Jochen Wengenroth
    Pages 59-76

  6. 5. The derived functors of Hom

    • Jochen Wengenroth
    Pages 77-107

  7. 6. Inductive spectra of locally convex spaces

    • Jochen Wengenroth
    Pages 109-118

  8. 7. The duality functor

    • Jochen Wengenroth
    Pages 119-127

  9. References

    • Jochen Wengenroth
    Pages 129-132

  10. Index

    • Jochen Wengenroth
    Pages 133-134

  11. Back Matter

    Pages 135-137
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Keywords

About this book

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.

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