A Short Course on Banach Space Theory
$62.99 (P)
Part of London Mathematical Society Student Texts
- Author: N. L. Carothers, Bowling Green State University, Ohio
- Date Published: December 2004
- availability: Available
- format: Paperback
- isbn: 9780521603720
$
62.99
(P)
Paperback
Other available formats:
Hardback, eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
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.
Read more- Based on a tried-and-tested classroom approach
- The course has minimal prerequisites - accessible to anyone who has had a standard first course in graduate analysis
- The course is self-contained with numerous exercises, a preliminaries section and an appendix on topology
Reviews & endorsements
'This lively written text focuses on certain aspects of the (neo-) classical theory of Banach spaces as developed in the 1950s and 1960s and is intended as an introduction to the subject, e.g., for future Ph.D. students. … This slim book is indeed very well suited to serve as an introduction to Banach spaces. Readers who have mastered it are well prepared to study more advanced texts such as P. Wojtaszczyk's Banach Spaces for Analysts (Cambridge University Press, second edition) or research papers.' Zentralblatt MATH
See more reviews'… a painstaking attention both to detail in the mathematics and to accessibility for the reader. … You could base a good postgraduate course on it.' Bulletin of the London Mathematical Society
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: December 2004
- format: Paperback
- isbn: 9780521603720
- length: 198 pages
- dimensions: 229 x 151 x 11 mm
- weight: 0.3kg
- availability: Available
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.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×