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Ideal Spaces

Väth, Martin
Heftet / 1997 / Engelsk

Produktdetaljer

ISBN
9783540631606
Publisert
1997-07-17
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Väth, Martin

Ideal Spaces

Väth, Martin
Heftet / 1997 / Engelsk
Väth, Martin
Heftet / 1997 / Engelsk
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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.
Les mer
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 spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice).
Les mer
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.
Les mer
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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.
Les mer
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 spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice).
Les mer
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.
Les mer
Springer Book Archives
Springer Book Archives
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9783540631606
Publisert
1997-07-17
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Väth, Martin

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