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UNIFORM EMBEDDINGS OF FREE PRODUCTS INTO UNIFORMLY CONVEX BANACH SPACES

Published online by Cambridge University Press:  30 January 2006

XIAOMAN CHEN  and
QIN WANG
XIAOMAN CHEN
Affiliation:
Institute of Mathematics, Fudan University, Shanghai, 200433, P. R. Chinaxchen@fudan.edu.cn
QIN WANG
Affiliation:
Department of Applied Mathematics, Dong Hua University, Shanghai, 200051, P. R. Chinaqwang@dhu.edu.cn Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, USAqwang@math.vanderbilt.edu
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Abstract

Let $A$ and $B$ be countable discrete groups, and let $\Gamma=A\ast B$ be their free product. We show that if $A$ and $B$ are uniformly embeddable into a uniformly convex Banach space, then so is $\Gamma$.

Keywords

46L8920F65
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 1 , February 2006 , pp. 139 - 142
Copyright
The London Mathematical Society 2006

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