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math.FA2006
Polynomial bounds for large Bernoulli sections of
Shiri Artstein-Avidan, Omer Friedland, Vitali Milman +1
We prove a quantitative version of the bound on the smallest singular value of a Bernoulli covariance matrix (due to Bai and Yin). Then we use this bound, together with several rec…
math.FA2004
On convexified packing and entropy duality
S. Artstein, V. Milman, S. J. Szarek +1
A 1972 duality conjecture due to Pietsch asserts that the entropy numbers of a compact operator acting between two Banach spaces and those of its adjoint are (in an appropriate sen…
math.FA2004
Duality of metric entropy
S. Artstein, V. Milman, S. J. Szarek
For two convex bodies K and T in , the covering number of K by T, denoted N(K,T), is defined as the minimal number of translates of T needed to cover K. Let us denote by …