Anyone knows a good summary containing the most important definitions and theorems about functional analysis.
Functional analysis summary
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functional-analysis
reference-request
operator-theory
1 Answers
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Georgei E. Shilov's Elementary Functional Analysis, 2nd Ed. (Dover books, 1996) would be a great start, and cheap, as far as textbooks go!
For a very brief (17 page) "summary" pdf document, written and posted by Dileep Menon and which might be of interest: An introduction to functional analysis. It contains both definitions and theorems, as well as a list of references.
See also the lists of definitions and theorems covered in Gilliam's course on functional analysis: here, and here.
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0Yes it was really cheap! I will by it also – 2012-12-01