An F-space sampler /:
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 no...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1984.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
89. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 online resource (xii, 240 pages) |
| Bibliographie: | Includes bibliographical references (pages 226-237). |
| ISBN: | 9781107398405 1107398401 9780511662447 0511662440 9781107387157 1107387159 9781107389984 1107389984 1139883925 9781139883924 1107383544 9781107383548 |
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| indexdate | 2024-11-27T13:25:41Z |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Kalton, Nigel J. (Nigel John), 1946-2010 https://id.oclc.org/worldcat/entity/E39PBJtCBgBRVpFKxBk8tbvPwC An F-space sampler / N.J. Kalton, N.T. Peck, James W. Roberts. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984. 1 online resource (xii, 240 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 89 Includes bibliographical references (pages 226-237). Print version record. 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 Function spaces. http://id.loc.gov/authorities/subjects/sh85052310 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Espaces fonctionnels. Espaces métriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Function spaces fast Metric spaces fast Analise Funcional. larpcal Espaces fonctionnels. ram Espaces métriques. ram Peck, N. T. (Newton Tenney), 1937- https://id.oclc.org/worldcat/entity/E39PBJbGRxFcd3BcTYbhj33JDq http://id.loc.gov/authorities/names/n84010065 Roberts, James W. (James Warren), 1943- https://id.oclc.org/worldcat/entity/E39PCjHW39K8mPhgpfgPrkjHmd http://id.loc.gov/authorities/names/n84010064 Print version: Kalton, Nigel J. (Nigel John), 1946- F-space sampler 0521275857 (DLC) 84045434 (OCoLC)11045341 London Mathematical Society lecture note series ; 89. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=676260 Volltext |
| spellingShingle | Kalton, Nigel J. (Nigel John), 1946-2010 An F-space sampler / London Mathematical Society lecture note series ; Function spaces. http://id.loc.gov/authorities/subjects/sh85052310 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Espaces fonctionnels. Espaces métriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Function spaces fast Metric spaces fast Analise Funcional. larpcal Espaces fonctionnels. ram Espaces métriques. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052310 http://id.loc.gov/authorities/subjects/sh85084441 |
| title | An F-space sampler / |
| title_auth | An F-space sampler / |
| title_exact_search | An F-space sampler / |
| title_full | An F-space sampler / N.J. Kalton, N.T. Peck, James W. Roberts. |
| title_fullStr | An F-space sampler / N.J. Kalton, N.T. Peck, James W. Roberts. |
| title_full_unstemmed | An F-space sampler / N.J. Kalton, N.T. Peck, James W. Roberts. |
| title_short | An F-space sampler / |
| title_sort | f space sampler |
| topic | Function spaces. http://id.loc.gov/authorities/subjects/sh85052310 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Espaces fonctionnels. Espaces métriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Function spaces fast Metric spaces fast Analise Funcional. larpcal Espaces fonctionnels. ram Espaces métriques. ram |
| topic_facet | Function spaces. Metric spaces. Espaces fonctionnels. Espaces métriques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Function spaces Metric spaces Analise Funcional. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=676260 |
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