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A short course on Banach space theory / N.L. Carothers.

By: Material type: TextTextSeries: London Mathematical Society student texts ; 64.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2005.Description: 1 online resource (xii, 184 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0511080476
  • 9780511080470
  • 9780511614057
  • 0511614055
  • 9780511079719
  • 0511079710
Subject(s): Genre/Form: Additional physical formats: Print version:: Short course on Banach space theory.DDC classification:
  • 515/.732 22
LOC classification:
  • QA322.2 .C37 2005eb
Online resources:
Contents:
Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Chapter 1 Classical Banach Spaces; Chapter 2 Preliminaries; Chapter 3 Bases in Banach Spaces; Chapter 4 Bases in Banach Spaces II; Chapter 5 Bases in Banach Spaces III; Chapter 6 Special Properties of ... ; Chapter 7 Bases and Duality; Chapter 8 Lp Spaces; Chapter 9 Lp Spaces II; Chapter 10 Lp Spaces III; Chapter 11 Convexity; Chapter 12 C(K) Spaces; Chapter 13 Weak Compactness in L1; Chapter 14 The Dunford-Pettis Property; Chapter 15 C(K) Spaces II; Chapter 16 C(K) Spaces III; Appendix Topology Review; References; Index.
Summary: This is a short course on classical Banach space theory. It is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 173-179) and index.

Print version record.

Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Chapter 1 Classical Banach Spaces; Chapter 2 Preliminaries; Chapter 3 Bases in Banach Spaces; Chapter 4 Bases in Banach Spaces II; Chapter 5 Bases in Banach Spaces III; Chapter 6 Special Properties of ... ; Chapter 7 Bases and Duality; Chapter 8 Lp Spaces; Chapter 9 Lp Spaces II; Chapter 10 Lp Spaces III; Chapter 11 Convexity; Chapter 12 C(K) Spaces; Chapter 13 Weak Compactness in L1; Chapter 14 The Dunford-Pettis Property; Chapter 15 C(K) Spaces II; Chapter 16 C(K) Spaces III; Appendix Topology Review; References; Index.

This is a short course on classical Banach space theory. It is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics.

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