Ideal Spaces: 1664 (Lecture Notes in Mathematics, 1664) - Softcover

Väth, Martin

 
9783540631606: Ideal Spaces: 1664 (Lecture Notes in Mathematics, 1664)

Synopsis

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.

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Product Description

A study of ideal spaces, this text covers issues such as basic definitions and properties, operators and applications, and majorizing principles for measurable operator functions.

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