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Anyone knows a good summary containing the most important definitions and theorems about functional analysis.

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up vote 8 down vote accepted

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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Thanks! but I was searching for an homepage, just to find the theorems and definitions written down in compact form. –  Johan Dec 1 '12 at 17:52
    
Yes it was really cheap! I will by it also –  Johan Dec 1 '12 at 17:54

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