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arxiv: 2004.14655 · v1 · pith:3WXP3HGOnew · submitted 2020-04-30 · 🧮 math.FA

Spaces C(K) with an equivalent URED norm

classification 🧮 math.FA
keywords spaceuredbanachcompactcontinuousdirectionequivalentevery
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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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