Weakly compact sets : lectures held at S.U.N.Y., Buffalo, in spring 1978

書誌事項

Weakly compact sets : lectures held at S.U.N.Y., Buffalo, in spring 1978

Klaus Floret

(Lecture notes in mathematics, 801)

Springer-Verlag, 1980

  • : Berlin
  • : New York

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注記

Bibliography: p. [117]-120

Includes index

内容説明・目次

目次

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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