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Mazur's intersection property of balls for compact convex sets
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that every compact convex set in a Banach space X is an intersection of balls provided the cone generated by the set of all extreme points of the dual unit ball of X* is dense in X* in the topology of uniform convergence on compact sets in X. This allows us to renorm every Banach space with transfinite Schauder basis by a norm which shares the mentioned intersection property.
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- Copyright © Australian Mathematical Society 1987
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