Geodesic
Norms of random matrices and widths of finite-dimensional sets
Sbornik. Mathematics, Tome 48 (1984) no. 1, pp. 173-182

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Precise orders are given for the Kolmogorov and linear widths of the unit ball of the space $l_p^m$ in the metric of $l_q^m$ for $q\infty$. The determination of the upper estimates is based on approximation by random objects. This method goes back to Kashin (Izv. Akad. Nauk SSSR, Ser. Mat., 1977, vol. 41, p. 334–351). The corresponding lower estimates were obtained in a previous article of the author (Vestn. Leningr. Univ., 1981, № 13, p. 5–10). Bibliography: 12 titles. 
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E. D. Gluskin. Norms of random matrices and widths of finite-dimensional sets. Sbornik. Mathematics, Tome 48 (1984) no. 1, pp. 173-182. http://geodesic.mathdoc.fr/item/SM_1984_48_1_a8/