Uniform embeddings of bounded geometry spaces into reflexive Banach space

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

paper · doi:10.48550/arxiv.math/0309198

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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