Uniform embeddings of bounded geometry spaces into reflexive Banach space
Operator Algebras
2016-09-07 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0309198,
title = {Uniform embeddings of bounded geometry spaces into reflexive Banach space},
author = {Nathanial Brown and Erik Guentner},
journal= {arXiv preprint arXiv:math/0309198},
year = {2016}
}
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7 pages