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• W2054482726 abstract "We 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 the known bounds on the isotropic constant of quotients of subspaces of L p and S , the Schatten Class space, for 1 < p ≤ 2." @default.
• W2054482726 created "2016-06-24" @default.
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• W2054482726 date "2008-03-01" @default.
• W2054482726 modified "2023-10-17" @default.
• W2054482726 title "On volume distribution in 2-convex bodies" @default.
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• W2054482726 doi "https://doi.org/10.1007/s11856-008-0027-0" @default.
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