Randomized isomorphic Dvoretzky theorem
| Autor: | Nicole Tomczak-Jaegermann, Piotr Mankiewicz, Alexander E. Litvak |
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| Rok vydání: | 2002 |
| Předmět: | |
| Zdroj: | Comptes Rendus Mathematique. 335:345-350 |
| ISSN: | 1631-073X |
| DOI: | 10.1016/s1631-073x(02)02476-7 |
| Popis: | Let K be a symmetric convex body in R N for which B 2 N is the ellipsoid of minimal volume. We provide estimates for the geometric distance of a ‘typical’ rank n projection of K to B 2 n , 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. |
| Databáze: | OpenAIRE |
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