Spaces 𝐶(𝐾) with an equivalent URED norm

Avilés, Antonio; Troyanski, Stanimir

doi:10.1090/proc/15315

Spaces $C(K)$ with an equivalent URED norm
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by Antonio Avilés and Stanimir Troyanski PDF

Proc. Amer. Math. Soc. 149 (2021), 1569-1579 Request permission

Abstract:

We prove that a Banach space of continuous functions $C(K)$ has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space $K$ supports a strictly positive measure.

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