Spaces C(K) with an equivalent URED norm

Antonio Avilés; Stanimir Troyanski

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arXiv · 2004.14655

Spaces C(K) with an equivalent URED norm

Antonio Avilés·Stanimir Troyanski

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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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Antonio Avilés, Stanimir Troyanski. 2020-04-30. Spaces C(K) with an equivalent URED norm. https://arxiv.org/abs/2004.14655

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