An extension of a Bourgain--Lindenstrauss--Milman inequality

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dc.creatorFriedland, Omer
dc.creatorSodin, Sasha
dc.date2007-06-18
dc.date.accessioned2026-07-07T08:43:16Z
dc.date.available2026-07-07T08:43:16Z
dc.descriptionLet || . || be a norm on R^n. Averaging || (\eps_1 x_1, ..., \eps_n x_n) || over all the 2^n choices of \eps = (\eps_1, ..., \eps_n) in {-1, +1}^n, we obtain an expression ||| . ||| which is an unconditional norm on R^n. Bourgain, Lindenstrauss and Milman showed that, for a certain (large) constant η> 1, one may average over (ηn) (random) choices of \eps and obtain a norm that is isomorphic to ||| . |||. We show that this is the case for any η> 1.
dc.identifierhttps://arxiv.org/abs/0706.2483
dc.identifierhttp://arxiv.org/abs/0706.2483
dc.identifierJ. Funct. Anal. 251 (2007), no. 2, pp. 492--497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142253
dc.subjectFunctional Analysis
dc.subjectProbability
dc.titleAn extension of a Bourgain--Lindenstrauss--Milman inequality
dc.typetext

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