Derived Functors in Functional Analysis
Edition: 1 edition
Publisher: Springer
Published: April 10, 2003
Language: eng
Format: Paperback
Number of pages: 134
ISBN-13: 9783540002369
Subjects: Mathematics; Homology Theory; Science/Mathematics; Algebra - General; Calculus; Mathematics / Functional Analysis; derived functors; homological methods; locally convex spaces; Functional Analysis; Geometry - Algebraic; Algebra, Homological; Functor theory
Description: 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.
Notes: Lecture Notes in Mathematics