An F-space sampler

An F-space sampler

by Kalton, Nigel J., (Nigel John)

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 graduatestudents in functional analysis.

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Edition Statements

  • Publication Date:1984.

Publication Statements

The Physical Object

  • Description:1 ressource en ligne (xii, 240 pages).

Edition Identifiers

  • ISBN:0511662440, 1107387159, 1107389984, 1107398401, 9780511662447, 9781107387157, 9781107389984, 9781107398405
  • oclc:on1197973353
  • LC Classification:QA323
  • Dewey Decimal:515.7/3

Subjects

e-books Espaces fonctionnels Espaces métriques Function spaces Livres numériques Metric spaces

Writers

Kalton, Nigel J., (Nigel John) Peck, N. T., (Newton Tenney) Roberts, James W., (James Warren)

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