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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Für Beruf und Forschung
Research
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Höhe: 235 mm
Breite: 155 mm
Dicke: 8 mm
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ISBN-13
978-3-540-09991-8 (9783540099918)
DOI
Schweitzer Klassifikation
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.
