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An F-space Sampler.
・ISBN 978-0-521-27585-9 paper GB£ 91.00
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★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-66244-7
| 著者・編者 | Kalton, N. J. / Peck, N. T. / Roberts, James W., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1984 |
| ページ数 | 256 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2374＞ |
解説
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.