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-lo...

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Bibliographic Details

Main Author:	Kalton, Nigel J. 1946- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1984
Series:	London Mathematical Society lecture note series 89
Subjects:	Function spaces Metric spaces Funktionenraum
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xii, 240 pages)
ISBN:	9780511662447
DOI:	10.1017/CBO9780511662447