Bourbaki, Nicolas. <br/><br/>
Topological vector spaces :  chapters 1-5 

 - Berlin :  Springer-Verlag,  1987 
 - vii, 354p.  25 cm. 
 -  Elements of mathematics .
 - Elements of mathematics .
<br/><br/> Translation of: Espaces vectoriels topologiques.  Includes indexes. 
<br/><br/>Bibliography: v. 1, p. [346]. 
<br/><br/> This [second edition] is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades.<br/>Table of Contents.<br/>Chapter I: Topological vector spaces over a valued field.<br/>Chapter II: Convex sets and locally convex spaces.<br/>Chapter III: Spaces of continuous linear mappings.<br/>Chapter IV: Duality in topological vector spaces.<br/>Chapter V: Hilbert spaces (elementary theory). 
<br/><br/><label>ISBN: </label>9783540423386 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Linear topological spaces.<br/>Functional analysis<br/>approximation<br/>topological vector space