Ideal spaces
Author(s)
Bibliographic Information
Ideal spaces
（Lecture notes in mathematics, 1664）
Springer, c1997
Available at / 87 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1664RM970812
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Note
Includes bibliographical references (p. [141]-143) and index (p. [144]-146)
Description and Table of Contents
Description
Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory.
Table of Contents
Basic definitions and properties.- Ideal spaces with additional properties.- Ideal spaces on product measures and calculus.- Operators and applications.
by "Nielsen BookData"