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A CONTINUITY CHARACTERIZATION OF ASPLUND SPACES
Published online by Cambridge University Press: 07 February 2011
Abstract
A Banach space is an Asplund space if every continuous gauge has a point where the subdifferential mapping is Hausdorff weak upper semi-continuous with weakly compact image. This contributes towards the solution of a problem posed by Godefroy, Montesinos and Zizler.
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- Copyright © Australian Mathematical Publishing Association Inc. 2011