Basic Analysis Gently Done: Topological Vector Spaces

Basic Analysis Gently Done: Topological Vector Spaces
by Ivan F. Wilde

Publisher: King's College, London 2010
Number of pages: 129

Description:
These notes are based on lectures given at King's College London (as part of the Mathematics MSc program). The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; Separation; Vector Spaces; Topological Vector Spaces; Locally Convex Topological Vector Spaces; Banach Spaces; The Dual Space of a Normed Space; Frechet Spaces.