Derived Functors in Functional Analysis

• Main Author: Wengenroth, Jochen (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1810
• Subjects: Functional analysis.; Category theory (Mathematics).; Homological algebra.; Partial differential equations.; Functional Analysis.; Category Theory, Homological Algebra.; Partial Differential Equations.
• Physical Description: X, 138 p. online resource.
• ISBN: 9783540362111
• ISSN: 0075-8434 ;
• DOI: 10.1007/b80165

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.