Derived functors in functional analysis / Jochen Wengenroth.

Format:

Book

Author/Creator:

Wengenroth, Jochen, 1967-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1810.

Lecture notes in mathematics, 0075-8434 ; 1810

Language:

English

Subjects (All):

Functional analysis.

Algebra, Homological.

Functor theory.

Physical Description:

viii, 134 pages ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2003]

Summary:

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 Frchet 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:

Includes bibliographical references and index.

ISBN:

3540002367

OCLC:

51171811