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Ideal spaces

Author: Martin Väth
Publisher: Berlin ; New York : Springer, ©1997.
Series: Lecture notes in mathematics (Springer-Verlag), 1664.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Väth, Martin, 1967-
Ideal spaces.
Berlin ; New York : Springer, ©1997
(DLC) 97023667
(OCoLC)37141176
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Martin Väth
ISBN: 9783540691921 3540691928
OCLC Number: 159933148
Description: 1 online resource (146 pages).
Contents: Introduction --
Basic definitions and properties --
Ideal spaces with additional properties --
Ideal spaces on product measures and calculus --
Operators and applications --
Appendix: Some measurability results --
Sup-measurable operator functions --
Majorising principles for measurable operator functions --
A generalization of a theorem of Luxemburg-Gribanov --
References --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1664.
Responsibility: Martin Väth.

Abstract:

Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. The book is a rather complete and self-contained introduction into the general theory of ideal  Read more...

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