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An F-space Sampler : London Mathematical Society Lecture Notes - N. J. Kalton

An F-space Sampler

London Mathematical Society Lecture Notes

Paperback

Published: 26th November 1984
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This book presents a theory motivated by the spaces LP, 0 â ¤ 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.

Preliminaries
Some of the classic results
Hardy spaces
The Hahn-Banach extension property
Three space problems
Lifting Theorems
Transitive spaces and small operators
Operators between LP spaces
Compact convex sets with no extreme points
Notes on other directions of research
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521275859
ISBN-10: 0521275857
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 256
Published: 26th November 1984
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.47
Weight (kg): 0.38