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Uniformly weak differentiability of the norm and a condition of Vlasov
Published online by Cambridge University Press: 09 April 2009
Abstract
In determining geometrical conditions on a Banach space under which a Chebychev set is convex, Vlasov (1967) introduced a smoothness condition of some interest in itself. Equivalent forms of this condition are derived and it is related to uniformly weak differentiability of the norm and rotundity of the dual norm.
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- Copyright © Australian Mathematical Society 1976
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