Ideal Spaces / by Martin Väth.

Format:

Book

Author/Creator:

Väth, Martin, 1967- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1664.

Lecture Notes in Mathematics, 0075-8434 ; 1664

Language:

English

Subjects (All):

Functional analysis.

Mathematics.

Logic, Symbolic and mathematical.

Functional Analysis.

Real Functions.

Mathematical Logic and Foundations.

Local Subjects:

Functional Analysis.

Real Functions.

Mathematical Logic and Foundations.

Physical Description:

1 online resource (VI, 150 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

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 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.

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.

Other Format:

Printed edition:

ISBN:

9783540691921

Access Restriction:

Restricted for use by site license.