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- catalog abstract "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.".
- catalog contributor b10450838.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog 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.".
- catalog description "Includes bibliographical references (p.[141]-143) and index.".
- catalog description "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.".
- catalog extent "146 p.".
- catalog hasFormat "Ideal spaces.".
- catalog identifier "3540631607 (acid-free paper)".
- catalog isFormatOf "Ideal spaces.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1664.".
- catalog isPartOf "Lecture notes in mathematics ; 1664".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Ideal spaces.".
- catalog subject "510 s 515/.73 21".
- catalog subject "Ideal spaces.".
- catalog subject "Logic, Symbolic and mathematical.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1664 QA323".
- catalog tableOfContents "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.".
- catalog title "Ideal spaces / Martin Väth.".
- catalog type "text".