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On uniformly Gâteaux differentiable norms in C(K)
Published online by Cambridge University Press: 26 February 2010
Abstract
It is proved that C(K) has no equivalent uniformly Gâteaux differentiable norm (UGD) when K-is an uncountable separable scattered com¬pact space. This result is applied to obtain an example of scattered compact K such that K′″ = ∅ and C(K) has no UGD renorming.
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- Research Article
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- Copyright © University College London 1994
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