Spaces 𝐶(𝐾) with an equivalent URED norm

Author:

Avilés Antonio,Troyanski Stanimir

Abstract

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

Funder

Agencia Estatal de Investigación

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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3. Pitman Monographs and Surveys in Pure and Applied Mathematics;Deville, Robert,1993

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5. On Kelley’s intersection numbers;Galvin, Fred;Proc. Amer. Math. Soc.,2001

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