Functional Analysis (topological vector space version) - Notes

Dr I F Wilde



Functional Analysis (TVS version) - Notes (pdf file)

These notes are based on lectures given at King's College London (as part of the Mathematics MSc programme). The approach here is to discuss topological vector spaces - with normed spaces considered as special cases.
It is a pleasure to thank Dr Frank Jellett for numerous enjoyable discussions.
Thanks also to Eli Cooper (UMass) for pointing out a couple of "inaccuracies" and to João Hélder (IMPA - Rio de Janeiro) for helpful comments.

Contents:

  1. Topological Spaces
  2. Nets
  3. Product Spaces
  4. Separation
  5. Vector Spaces
  6. Topological Vector Spaces
  7. Locally Convex Topological Vector Spaces
  8. Banach Spaces
  9. The Dual Space of a Normed Space
  10. Fréchet Spaces

- further available material.



Ivan F Wilde
e-mail: iwilde (dot) mth (at) ntlworld (dot) com
<This page updated 18 February 2010>