461 citations
- Centre National de la Recherche ScientifiqueFR40 papers
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4 papers · 2 filters
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…
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 …
Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces
Valentin Ferenczi, Eloi Medina Galego
We improve the known results about the complexity of the relation of isomorphism between separable Banach spaces up to Borel reducibility, and we achieve this using the classical s…
On The Interpolation of Injective or Projective Tensor Products of Banach Spaces
Omran Kouba
We prove a general result on the factorization of matrix-valued analytic functions. We deduce that if and are interpolation pairs with dense intersections,…