Spaces C(K) with an equivalent URED norm

2020/04/30 by Avilés, Antonio, Troyanski, Stanimir
#46B03 #46B20 #46B26 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.14655

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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