Pointwise uniformly rotund norms

Rychtář, Jan

doi:10.1090/S0002-9939-05-07984-0

Pointwise uniformly rotund norms
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Proc. Amer. Math. Soc. 133 (2005), 2259-2266 Request permission

Abstract:

It is shown that some properties of compact spaces $K$, such as carrying a strictly positive measure or being descriptive, are closely related to renormings of $C(K)$ or $C(K)^*$, respectively, by pointwise uniformly rotund norms.

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