© 1997

Ideal Spaces

  • Authors

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


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.


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

  • Book Title Ideal Spaces
  • Authors Martin Väth
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-63160-6
  • eBook ISBN 978-3-540-69192-1
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 150
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Functional Analysis
    Real Functions
    Mathematical Logic and Foundations
  • Buy this book on publisher's site
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