An F-space sampler:
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-lo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1984
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| Schriftenreihe: | London Mathematical Society lecture note series
89 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 240 pages) |
| ISBN: | 9780511662447 |
| DOI: | 10.1017/CBO9780511662447 |
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| 100 | 1 | |a Kalton, Nigel J. |d 1946- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An F-space sampler |c N.J. Kalton, N.T. Peck, James W. Roberts |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a 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 | ||
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| 650 | 4 | |a Metric spaces | |
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| 700 | 1 | |a Roberts, James W. |d 1943- |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author_facet | Kalton, Nigel J. 1946- |
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| author_sort | Kalton, Nigel J. 1946- |
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| dewey-full | 515.7/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/3 |
| dewey-search | 515.7/3 |
| dewey-sort | 3515.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511662447 |
| format | Electronic eBook |
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| id | DE-604.BV043941836 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511662447 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350806 |
| oclc_num | 967679363 |
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| physical | 1 online resource (xii, 240 pages) |
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| spelling | Kalton, Nigel J. 1946- Verfasser aut An F-space sampler N.J. Kalton, N.T. Peck, James W. Roberts Cambridge Cambridge University Press 1984 1 online resource (xii, 240 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 89 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Function spaces Metric spaces Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s 1\p DE-604 Peck, N. T. 1937- Sonstige oth Roberts, James W. 1943- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-27585-9 https://doi.org/10.1017/CBO9780511662447 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kalton, Nigel J. 1946- An F-space sampler Function spaces Metric spaces Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4134834-5 |
| 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 | an f space sampler |
| topic | Function spaces Metric spaces Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Function spaces Metric spaces Funktionenraum |
| url | https://doi.org/10.1017/CBO9780511662447 |
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