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On Locally Uniformly Rotund Renormings in C(K) Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
A characterization of the Banach spaces of type $C\left( K \right)$ that admit an equivalent locally uniformly rotund norm is obtained, and a method to apply it to concrete spaces is developed. As an application the existence of such renorming is deduced when $K$ is a Namioka–Phelps compact or for some particular class of Rosenthal compacta, results which were originally proved with ad hoc methods.
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- Copyright © Canadian Mathematical Society 2010
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