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A Course on Topological Vector Spaces
Engelsk
Bogcover for A Course on Topological Vector Spaces af Jurgen Voigt, 9783030329440
Specifikationer
Sprog:
Engelsk
Sider:
155
ISBN-13:
9783030329440
Indbinding:
Paperback
ISBN-10:
3030329445
Udg. Dato:
7 mar 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
7 mar 2020
Forfatter(e):

A Course on Topological Vector Spaces

Engelsk
Paperback 2020
Format:

Bog beskrivelse
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. The book 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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Specifikationer
Sprog:
Engelsk
Sider:
155
ISBN-13:
9783030329440
Indbinding:
Paperback
ISBN-10:
3030329445
Udg. Dato:
7 mar 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
7 mar 2020
Forfatter(e):
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