Abstract of a paper by Fernando Rambla-Barreno and Jarno Talponen
This is an announcement for the paper "Uniformly convex-transitive function spaces" by Fernando Rambla-Barreno and Jarno Talponen. 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. Archive classification: math.FA Mathematics Subject Classification: 46B04; 46B20; 46B25 The source file(s), RotCad_acc.tex: 46198 bytes, is(are) stored in gzipped form as 0902.0640.gz with size 14kb. The corresponding postcript file has gzipped size 99kb. Submitted from: talponen@cc.helsinki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0902.0640 or http://arXiv.org/abs/0902.0640 or by email in unzipped form by transmitting an empty message with subject line uget 0902.0640 or in gzipped form by using subject line get 0902.0640 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu