Histoire d'un théorème de Bessaga et Pełczynski
Theorems of Krein Milman type for certain convex sets of functions operators
Sufficient conditions are given in order that, for a bounded closed convex subset of a locally convex space , the set of continuous functions from the compact space into , is the uniformly closed convex hull in of its extreme points. Applications are made to the unit ball of bounded (or compact, or weakly compact) operators from certain Banach spaces into .
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