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Ideal Spaces : Lecture Notes in Computer Science - Martin Vath

Ideal Spaces

Lecture Notes in Computer Science

Paperback Published: 17th July 1997
ISBN: 9783540631606
Number Of Pages: 150

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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.

Introductionp. 1
Basic Definitions and Propertiesp. 7
Ideal Spaces with Additional Propertiesp. 29
Ideal Spaces on Product Measures and Calculusp. 75
Operators and Applicationsp. 105
Appendix: Some Measurability Resultsp. 127
Referencesp. 141
Indexp. 144
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540631606
ISBN-10: 3540631607
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 150
Published: 17th July 1997
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.84
Weight (kg): 0.23