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An F-space Sampler

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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.

Author(s): N. J. Kalton, N. T. Peck, J. W. Roberts
Series: London Mathematical Society Lecture Note Series
Edition: 1
Publisher: Cambridge University Press
Year: 1985

Language: English
Pages: 256
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