
An F-space Sampler
Cambridge University Press
Published on 27. September 1984
Book
Paperback/Softback
256 pages
978-0-521-27585-9 (ISBN)
Description
This book presents a theory motivated by the spaces LP, 0 ? p < l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn-Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the non-locally convex setting, and are a central theme. Several of the classical problems in the area have been settled in the last decade, and a number of their solutions are presented here. The book begins with concrete examples (lp, LP, L0, HP) before going on to general results and important counterexamples. An F-space sampler will be of interest to research mathematicians and graduate students in functional analysis.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
421 gr
ISBN-13
978-0-521-27585-9 (9780521275859)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

N. J. Kalton | N. T. Peck | James W. Roberts
An F-space Sampler
E-Book
09/1984
1st Edition
Cambridge University Press
€82.99
Available for download
Content
1. Preliminaries; 2. Some of the classic results; 3. Hardy spaces; 4. The Hahn-Banach extension property; 5. Three space problems; 6. Lifting Theorems; 7. Transitive spaces and small operators; 8. Operators between LP spaces; 9. Compact convex sets with no extreme points; 10. Notes on other directions of research.