Uniformly convex-transitive function spaces
Functional Analysis
2009-05-06 v2
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.
Cite
@article{arxiv.0902.0640,
title = {Uniformly convex-transitive function spaces},
author = {Fernando Rambla-Barreno and Jarno Talponen},
journal= {arXiv preprint arXiv:0902.0640},
year = {2009}
}