Super weak compactness and uniform Eberlein compacta
We prove that a topological space is uniform Eberlein compact iff it is homeomorphic to a super weakly compact subset C of a Banach space such that the closed convex hull co̅C of C is super weakly compact. We also show that a Banach space X is super weakly compactly generated iff the dual unit ball BX* of X* in its weak star topology is affinely homeomorphic to a super weakly compactly convex subset of a Banach space.
KeywordsBanach space uniform Eberlein compactas super weak compactness
MR(2010) Subject Classification46B20 46B50
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