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Ideal Spaces

  • Authors
  • Martin Väth

Part of the Lecture Notes in Mathematics book series (LNM, volume 1664)

Table of contents

  1. Front Matter
    Pages I-V
  2. Martin Väth
    Pages 1-6
  3. Martin Väth
    Pages 7-27
  4. Martin Väth
    Pages 29-74
  5. Martin Väth
    Pages 105-126
  6. Back Matter
    Pages 127-146

About this book

Introduction

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.

Keywords

Addition Banach functions spaces Koethe spaces axiom of choice calculus equation function functional analysis ideal spaces space of measurable functions theorem vector-valued functions

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093548
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63160-6
  • Online ISBN 978-3-540-69192-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site