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Ideal Spaces

Ideal Spaces

Paperback

Series: Lecture Notes in Mathematics, Book 1664

FictionGeneral Mathematics

ISBN10: 3540631607
ISBN13: 9783540631606
Publisher: Springer Nature
Published: Jul 17 1997
Pages: 150
Weight: 0.50
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics