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On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces
A characterization of weakly compact subsets of a Hubert space, when they are considered as subsets of B-spaces with an unconditional basis, is given.We apply this result to renorm a class of reflexive ß-spaces by defining a norm uniformly convex in every direction.We also prove certain results related to the …