Uniformly convex-transitive function spaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We introduce a property of Banach spaces called uniform convex-transitivity,
which falls between almost transitivity and convex-transitivity. We will
provide examples of uniformly convex-transitive spaces. This property behaves
nicely in connection with some Banach-valued function spaces. As a consequence,
we obtain new examples of convex-transitive Banach spaces.

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