Uniform embeddings of bounded geometry spaces into reflexive Banach space

Nathanial Brown; Erik Guentner

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arXiv · math/0309198

Uniform embeddings of bounded geometry spaces into reflexive Banach space

Nathanial Brown·Erik Guentner

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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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BibTeX RIS

Nathanial Brown, Erik Guentner. 2003-09-11. Uniform embeddings of bounded geometry spaces into reflexive Banach space. https://arxiv.org/abs/math/0309198

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