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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
- Item No : 376329305542
- Condition : Brand New
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- Seller : loveourprices2
- Current Bid : US $47.51
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* Item Description
- 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 inL.
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