Description: Course on Topological Vector Spaces, Paperback by Voigt, Jürgen, ISBN 3030329445, ISBN-13 9783030329440, Brand New, Free shipping in the US
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 closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(O) and the space of distributions, and the Krein-Milman theorem.
Th adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
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Book Title: Course on Topological Vector Spaces
Number of Pages: VIII, 155 Pages
Publication Name: Course on Topological Vector Spaces
Language: English
Publisher: Springer International Publishing A&G
Subject: Functional Analysis
Publication Year: 2020
Type: Textbook
Item Weight: 16 Oz
Author: Jürgen Voigt
Subject Area: Mathematics
Item Length: 9.3 in
Item Width: 6.1 in
Series: Compact Textbooks in Mathematics Ser.
Format: Trade Paperback
