A Short Course on Banach Space Theory (London Mathematical Society Student Texts) | 
 enlarge | Author: N. L. Carothers
Publisher: Cambridge University Press
Category: Book
List Price: $42.00
Buy New: $9.75
You Save: $32.25 (77%)
New (9) Used (14) from $9.52
Sales Rank: 700688
Media: Paperback
Number Of Items: 1
Pages: 196
Shipping Weight (lbs): 0.4
Dimensions (in): 8.8 x 5.9 x 0.5
ISBN: 0521603722
Dewey Decimal Number: 515.732
EAN: 9780521603720
ASIN: 0521603722
Publication Date: December 6, 2004
Availability: Usually ships in 1-2 business days
|
| Editorial Reviews:
Product Description
This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: The elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful, however, the text includes a brief appendix on the topology needed for the course.
Book Description
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. The book is intended for use as in an advanced topics course or seminar, or for independent study. It offers a gentler introduction than can be found in the existing literature, even including elementary exercises. In addition, the text includes references to expository articles and suggestions for further reading.
|
|
|
