A subgaussian embedding theorem

Shahar Mendelson; Nicole Tomczak-Jaegermann

doi:10.1007/s11856-008-0034-1

A subgaussian embedding theorem

Shahar Mendelson^*, Nicole Tomczak-Jaegermann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	349-364
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	164
DOIs	https://doi.org/10.1007/s11856-008-0034-1
Publication status	Published - Mar 2008

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title = "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.",

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AB - 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.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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A subgaussian embedding theorem

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