Uniform embeddings of bounded geometry spaces into reflexive Banach space

Details Uniform embeddings of bounded geometry spaces into reflexive Banach space Uniform embeddings of bounded geometry spaces into reflexive Banach space

2003-09-11

arxiv.org/abs/math/0309198v1

Mathematics

Operator Algebras

7 pages

Scientific paper

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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