Functional Analysis: Basic Research & Ramsey Theory Applications

[A-ManESL]

Where can I get a very basic introduction to the current research directions in functional analysis? I have done a basic course in it. Also I am interested in knowing about applications of Ramsey theory to functional analysis. Thanks.

 

[Landau]

I don't know about research directions, but what did your basic course cover? I have also only done an introductory course in it. A second (advanced) course will ususally cover a book like Conway and/or Rudin. After that, there are (of course) several directions and releated areas, like operator theory, harmonic analysis,...

Maybe this will help you in your search.