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arXiv · 0902.0640

Uniformly convex-transitive function spaces

Fernando Rambla-Barreno·Jarno Talponen
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Abstract

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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Fernando Rambla-Barreno, Jarno Talponen. 2009-05-06. Uniformly convex-transitive function spaces. https://arxiv.org/abs/0902.0640

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