A Course on Topological Vector Spaces
Voigt, Jürgen![A Course on Topological Vector Spaces](https://support.digitalhusky.com/media/annotations/sorted/337/33716178/CHSBZCOP0333716178.jpg)
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the clo...