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Weakly Compact Sets: Lectures Held at S.U.N.Y., Buffalo, in Spring 1978

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Author(s): Klaus Floret (auth.)
Series: Lecture Notes in Mathematics 801
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1980

Language: English
Pages: 126
City: Berlin; New York
Tags: Algebraic Geometry

Some fundamentals of locally convex spaces....Pages 1-6
Countably compact sets and the theorem of Eberlein - Grothendieck....Pages 7-20
Bounding sets in the weak topology....Pages 21-27
Sequential compactness and angelic spaces....Pages 28-44
Pointwise and weak compactness in spaces of continuous functions....Pages 45-56
Best approximations and the theorem of R.C.James....Pages 57-66
Proof of the theorem of R.C.James....Pages 67-81
Applications of the sup-theorem....Pages 82-97
The topology related to Rainwater's theorem....Pages 98-116