Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1810)
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Table of contents (9 chapters)
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.
Bibliographic Information
Book Title: Derived Functors in Functional Analysis
Authors: Jochen Wengenroth
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b80165
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-00236-9Published: 10 December 2002
eBook ISBN: 978-3-540-36211-1Published: 01 January 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 138
Topics: Functional Analysis, Category Theory, Homological Algebra, Partial Differential Equations