Banach spaces for analysts

Banach spaces for analysts

by Wojtaszczyk, Przemysław

Type Book
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This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis function theory, orthogonal series and approximation theory are also given prominence. The author begins with a discussion of weak topologies, weak compactness and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory, so the prerequisites are a background in f…

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Title Statements

  • Full title :Banach spaces for analysts / P. Wojtaszczyk.

Summary

This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis function theory, orthogonal series and approximation theory are also given prominence. The author begins with a discussion of weak topologies, weak compactness and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory, so the prerequisites are a background in functional, complex and real analysis. As the only introduction to the modern theory it will be an essential companion for professional mathematicians working in the subject, or interested in applying it to other areas of analysis.

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Edition Statements

  • Publication Date:1991.

Publication Statements

Notes

First paperback edition 1996.

The Physical Object

  • Description:1 online resource (xiii, 382 p. ).

Edition Identifiers

  • ISBN:9780511608735, 051160873X
  • oclc:on1242484567
  • LC Classification:QA322.2
  • Dewey Decimal:515/.732

Table of Contents

Pt. 1. Introduction -- pt. 2. Basic concepts of Banach space theory -- pt. 3. Selected topics.

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