A Short Course on Banach Space Theory(London Mathematical Society Student Texts Series) / Edition 1

A Short Course on Banach Space Theory(London Mathematical Society Student Texts Series) / Edition 1

by N. L. Carothers
     
 

ISBN-10: 0521603722

ISBN-13: 9780521603720

Pub. Date: 06/28/2010

Publisher: Cambridge University Press

This short course on classical Banach space theory 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. The book is intended for use in an advanced topics course or seminar,

Overview

This short course on classical Banach space theory 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. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more user-friendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading.

Product Details

ISBN-13:
9780521603720
Publisher:
Cambridge University Press
Publication date:
06/28/2010
Series:
London Mathematical Society Student Texts Series
Edition description:
New Edition
Pages:
184
Product dimensions:
5.98(w) x 8.98(h) x 0.47(d)

Table of Contents

Preface; 1. Classical Banach spaces; 2. Preliminaries; 3. Bases in Banach spaces; 4. Bases in Banach spaces II; 5. Bases in Banach spaces III; 6. Special properties of C0, l1, and l∞; 7. Bases and duality; 8. Lp spaces; 9. Lp spaces II; 10. Lp spaces III; 11. Convexity; 12. C(K) Spaces; 13. Weak compactness in L1; 14. The Dunford-Pettis property; 15. C(K) Spaces II; 16. C(K) Spaces III; A. Topology review.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >