An F-space Sampler (London Mathematical Society Lecture Note Series, Series Number 89) (Volume 0)

Kalton, N. J.; Peck, N. T.; Roberts, James W.

ISBN 10: 0521275857 / ISBN 13: 9780521275859

Published by Cambridge University Press, 1985

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Bibliographic Details

• Title: An F-space Sampler (London Mathematical Society Lecture Note Series, Series Number 89) (Volume 0)
• Publisher: Cambridge University Press
• Publication Date: 1985
• Language: English
• ISBN 10: 0521275857
• ISBN 13: 9780521275859
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Book 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.