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Extremal characterizations of reflexive spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
Assume that a Banach space has a Fréchet differentiable and locally uniformly convex norm. We show that the reflexive property of the Banach space is not only sufficient, but also a necessary condition for the fulfillment of the proximal extremal principle in nonsmooth analysis.
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- Copyright © Australian Mathematical Society 2007