On volume distribution in 2-convex bodies

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dc.creatorKlartag, Boaz
dc.creatorMilman, Emanuel
dc.date2006-04-27
dc.date.accessioned2026-07-07T07:11:20Z
dc.date.available2026-07-07T07:11:20Z
dc.descriptionWe consider convex sets whose modulus of convexity is uniformly quadratic. First, we observe several interesting relations between different positions of such ``2-convex'' bodies; in particular, the isotropic position is a finite volume-ratio position for these bodies. Second, we prove that high dimensional 2-convex bodies posses one-dimensional marginals that are approximately Gaussian. Third, we improve for 1<p<=2 some bounds on the isotropic constant of quotients of subspaces of L_p and S_p^m, the Schatten Class space.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0604594
dc.identifierhttp://arxiv.org/abs/math/0604594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111716
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.titleOn volume distribution in 2-convex bodies
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