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An F-space Sampler by N. T. Peck
An F-space Sampler by N. T. Peck
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An F-space Sampler

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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.
Release date NZ
September 27th, 1984
Audience
  • Professional & Vocational
Pages
256
Dimensions
152x228x22
ISBN-13
9780521275859
Product ID
2031937

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