An F-space Sampler
1st Edition
Published on 27. September 1984
978-1-107-29878-1 (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
File size
7,27 MB
ISBN-13
978-1-107-29878-1 (9781107298781)
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Schweitzer Classification
Other editions
Additional editions
N. J. Kalton | N. T. Peck | James W. Roberts
An F-space Sampler
Book
09/1984
Cambridge University Press
€105.60
Shipment within 15-20 days
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.
