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Introduction to the Analysis of Normed Linear Spaces.
・ISBN 978-0-521-65375-6 paper GB£ 62.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-16846-5
| 著者・編者 | Giles, J. R., |
|---|---|
| シリーズ | Australian Mathematical Society Lecture Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2000 |
| ページ数 | 296 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10783＞ |
解説
This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.