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A subgaussian embedding theorem

Mendelson, Shahar; Tomczak-Jaegermann, Nicole

Description

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.

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/31124
Source: Israel Journal of Mathematics
DOI: 10.1007/s11856-008-0034-1

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