A subgaussian embedding theorem

Abstract

We prove a subgaussian extension of a Gaussian result on embedding subsets of a Euclidean space into normed spaces. Using the concentration of a random subgaussian vector around its mean we obtain an isomorphic (rather than almost isometric) result, under an additional cotype assumption on the normed space considered.

Cite this paper

@inproceedings{Mendelson2006ASE, title={A subgaussian embedding theorem}, author={Shahar Mendelson and Nicole Tomczak-Jaegermann}, year={2006} }