Books on locally convex topological vector spaces

Question

My friend asked me for a good book about locally convex topological vector space. I'm not familar with this. Could you give me some good references on it?

Answer 1

I admit I have a weakness for Rudin's Functional Analysis myself. Some people find Rudin's books too polished, though.

Answer 2

There is a tome of Bourbaki on Topological Vector Spaces, it is always a good reference.

Answer 3

There are quite long chapters devoted to locally convex tvs's in Topological Vector Spaces by H.H. Schaefer and in Topological Vector Spaces by A. Grothendieck.

Answer 4

A very nice book is also "Topological vector spaces, distributions and kernels" by F. Trèves.