| 书目名称 | Geometric Functional Analysis and its Applications | | 编辑 | Richard B. Holmes | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli cations. These applications are to optimization theory in general and to best approximation theory in particular. The geometric nature of the subjects has greatly influenced the approach to functional analysis presented herein, especially its basis on the unifying concept of convexity. Most of the major theorems either concern or depend on properties of convex sets; the others generally pertain to conjugate spaces or compactness properties, both of which topics are important for the proper setting and resolution of optimization problems. In consequence, and in contrast to most other treatments of functional analysis, there is no discussion of spectral theory, and only the most basic and general properties of linear operators are established. Some of the theoretical highlights of the book are the Banach space theorems associated with the names of Dixmier, Krein, James, Smulian, Bishop-Phelps, Brondsted-Rockafellar, and Bessaga-Pelczynski. Prior to these (and others) we establish to two most important principles of geometric functional analysis | | 出版日期 | Textbook 1975 | | 关键词 | Banach Space; Convexity; calculus; compactness; functional analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-9369-6 | | isbn_softcover | 978-1-4684-9371-9 | | isbn_ebook | 978-1-4684-9369-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1975 |
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发表于 2025-3-21 18:52:29
