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Asplund spaces and a variant of weak uniform rotundity
Published online by Cambridge University Press: 17 April 2009
Abstract
We introduce a property formally weaker than weak uniform rotundity, which we call equatorial weak uniform rotundity. We show that an equatorially weakly uniformly rotund norm need not be weakly locally uniformly rotund. Nevertheless, we show that an equatorially weakly uniformly rotund Banach space is an Asplund space.
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- Copyright © Australian Mathematical Society 2000
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