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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Consequences of Convexity,first recall some notions from general topology and then introduce the concept of a topological vector space. These spaces, which include Banach spaces, are sufficiently complex that we can say something interesting about their structure. Banach spaces are topological vector spaces where the topolog

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Banach Algebras,ourselves to considering complex Banach spaces, which will allow us to make use of powerful theorems from complex analysis. (For a brief review of results from complex analysis, see Sect.?B.2 in the appendix.)

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0172-5939 nalysis. 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..978-1-4939-1944-4978-1-4939-1945-1Series ISSN 0172-5939 Series E-ISSN 2191-6675

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