Uniformly convex-transitive function spaces

2009/02/03 by F. Rambla-Barreno, Fernando Rambla-Barreno, Rambla-Barreno, Fernando +2
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Fixed Point Theorems Analysis #math.FA #msc:46B04 #msc:46B20 #msc:46B25

paper · pdf · doi:10.48550/arxiv.0902.0640

arxiv created 2009/05/06 · arxiv updated 2009/12/01

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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