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The Quarterly Journal of Mathematics Advance Access published online on August 27, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap028
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© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

UNIFORMLY CONVEX-TRANSITIVE FUNCTION SPACES

Fernando Rambla-Barreno {dagger}

Universidad de Cádiz, Departamento de Matemáticas, 11510 Puerto Real, Spain

Jarno Talponen{ddagger}

University of Helsinki, Department of Mathematics and Statistics, Box 68, FI-00014, Finland

{ddagger} Corresponding author. E-mail: talponen{at}cc.helsinki.fi; Jarno.Talponen{at}helsinki.fi

Received 4 May 2009; revised 22 July 2009
  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.

{dagger} E-mail: fernando.rambla{at}uca.es


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