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Titlebook: An Introductory Course in Functional Analysis; Adam Bowers,Nigel J. Kalton Textbook 2014 Springer Science+Business Media, LLC, part of Spr

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期刊全称An Introductory Course in Functional Analysis
影响因子2023Adam Bowers,Nigel J. Kalton
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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Titlebook: An Introductory Course in Functional Analysis;  Adam Bowers,Nigel J. Kalton Textbook 2014 Springer Science+Business Media, LLC, part of Spr
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..
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Introduction,Of course, in infinite dimensions, certain issues (such as summability) become much more delicate, and accordingly additional structure is imposed. Perhaps the most natural structure imposed upon a vector space is that of a ..
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Consequences of Convexity,s, are sufficiently complex that we can say something interesting about their structure. Banach spaces are topological vector spaces where the topology is determined by a complete norm, and in this chapter we will get some idea of how they fit into a more general topological framework.
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Textbook 2014 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 Hah
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Adam Bowers,Nigel J. KaltonPresents 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
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