[Banach] Abstract of a paper by Qinggang Ren

This is an announcement for the paper "Coarse embedding into uniformly convex Banach space" by Qinggang Ren.

Abstract: In this paper, we study the coarse embedding into Banach space. We proved that under certain conditions, the property of embedding into Banach space can be preserved under taking the union the metric spaces. For a group $G$ strongly relative hyperbolic to a subgroup $H$, we proved that if $H$ admits a coarse embedding into a uniformly convex Banach space, so is $B(n)={g\in G|\abs{g}_{S\cup\mathscr{H}}\leq n}$.

Archive classification: math.MG math.FA

Remarks: 14 pages

Submitted from: qinggang.ren@hw4.ecs.kyoto-u.ac.jp

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1105.3263

or

http://arXiv.org/abs/1105.3263