Derived Functors in Functional Analysis

Authors: Jochen Wengenroth



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.

Table of contents

Front Matter

1. Introduction

2. Notions from homological algebra

3. The projective limit functor for countable spectra

4. Uncountable projective spectra

5. The derived functors of Hom

6. Inductive spectra of locally convex spaces

7. The duality functor

References

Index

Back Matter