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 vector-valued function spaces. As a consequence, we obtain some new examples of convex-transitive Banach spaces. (To appear in Quarterly Journal of Mathematics) AMS subject classifications: Primary 46B04, 46B20; Secondary 46B25
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