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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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