Weakly compact sets : lectures held at S.U.N.Y., Buffalo, in spring 1978
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Bibliographic Information
Weakly compact sets : lectures held at S.U.N.Y., Buffalo, in spring 1978
(Lecture notes in mathematics, 801)
Springer-Verlag, 1980
- : Berlin
- : New York
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||8018007043S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
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Note
Bibliography: p. [117]-120
Includes index
Description and Table of Contents
Table of Contents
Some fundamentals of locally convex spaces.- Countably compact sets and the theorem of Eberlein - Grothendieck.- Bounding sets in the weak topology.- Sequential compactness and angelic spaces.- Pointwise and weak compactness in spaces of continuous functions.- Best approximations and the theorem of R.C.James.- Proof of the theorem of R.C.James.- Applications of the sup-theorem.- The topology related to Rainwater's theorem.
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