A Course on Topological Vector Spaces free ebook download.

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A Course on Topological Vector Spaces free ebook download

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Mathematics

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Catalogue

Author(s):	JГјrgen Voigt

Date:	2020-03-14	Format:	pdf	Language:	English	ISBN/ASIN:	3030329445
Pages:	155	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	3/10/2020 9:47:07 AM

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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 Banachs theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Kreins 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() 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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2721242	Book	https://nitroflare.com/view/9752CC52D322...		1.94	maveriks

Tags: Course Spaces Topological Vector

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