K. Floret

Weakly Compact Sets

Lectures Held at S.U.N.Y., Buffalo, in Spring 1978

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 801
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09991-8
• 1980.
• Seitenzahl: 132
• Erscheinungstermin: 1. Mai 1980
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 230g
• ISBN-13: 9783540099918
• ISBN-10: 3540099913
• Artikelnr.: 23564517

Inhaltsangabe

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.