Uniform embeddings of bounded geometry spaces into reflexive Banach space

2003/09/11 by Nathanial Brown, Brown, Nathanial, Erik Guentner +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.math/0309198

7 pages

arxiv created 2003/09/11 · arxiv updated 2016/09/07

Abstract

We show that every metric space with bounded geometry uniformly embeds into an explicit reflexive Banach space (a direct sum of l^p spaces). In the case of discrete groups we show the analogue of a-T-menability. That is, we construct a metrically proper affine isometric action on this Banach space.

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