Randomized isomorphic Dvoretzky theoremVersion aléatoire isomorphique du théorème de Dvoretzky |
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| Authors: | Alexander Litvak Piotr Mankiewicz Nicole Tomczak-Jaegermann |
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| Institution: | 1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1, Canada;2. Institute of Mathematics, Polish Academy of Sciences, PB 137, 00-950 Warsaw, Poland |
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| Abstract: | Let K be a symmetric convex body in for which B2N is the ellipsoid of minimal volume. We provide estimates for the geometric distance of a ‘typical’ rank n projection of K to B2n, for 1?n<N. Known examples show that the resulting estimates are optimal (up to numerical constants) even for the Banach–Mazur distance. To cite this article: A. Litvak et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 345–350. |
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