An F-space sampler

An F-space sampler

by Kalton, Nigel J.

Type Book
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This book presents a theory motivated by the spaces LP, 0 d"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…

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Title Statements

  • Full title :An F-space sampler / N.J. Kalton, N.T. Peck, James W. Roberts.

Summary

This book presents a theory motivated by the spaces LP, 0 d"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.

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Edition Statements

  • Publication Date:1984

Publication Statements

Notes

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The Physical Object

  • Description:1 online resource (xii, 240 Seiten)

Edition Identifiers

  • ISBN:9780511662447, 0511662440, 9780521275859, 0521275857
  • DOI:10.1017/CBO9780511662447
  • oclc:ocn967679363
  • LC Classification:QA323
  • Dewey Decimal:515.7/3

Subjects

Espaces fonctionnels Espaces métriques Function spaces Metric spaces

Writers

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

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