期刊全称 | An Introductory Course in Functional Analysis | 影响因子2023 | Adam Bowers,Nigel J. Kalton | 视频video | | 发行地址 | Presents the basics of functional analysis according to Nigel Kalton, a leader in the field.Enables the reader to appreciate and apply the theory by explaining both the why and how of the subject‘s de | 学科分类 | Universitext | 图书封面 |  | 影响因子 | .Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only .how., but .why., the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn.–.Banach theorem based on an inf-convolution technique, the proof of Schauder‘s theorem, and the proof of the Milman.–.Pettis theorem..With the inclusion of many illustrative examples and exercises, .An Introductory Course in Functional Analysis. equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.. | Pindex | Textbook 2014 |
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