More on the duality conjecture for entropy numbers

Shiri Artstein; Vitali D. Milman; Stanislaw J. Szarek

doi:10.1016/S1631-073X(03)00102-X

Geometry/Functional Analysis

More on the duality conjecture for entropy numbers
[Sur la conjecture de la dualité pour les nombres d'entropie]

Présenté par : Michel Talagrand

Shiri Artstein ¹ ; Vitali D. Milman ² ; Stanislaw J. Szarek ^2,³

¹ School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
² Équipe d'analyse fonctionnelle, B.C. 186, Université Paris VI, 4, place Jussieu, 75252 Paris, France
³ Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA

Comptes Rendus. Mathématique, Volume 336 (2003) no. 6, pp. 479-482.

Résumé
Abstract

Nous démontrons, à un facteur logarithmique près, la conjecture concernant la dualité de nombres d'entropie dans le cas où l'un de deux corps est un ellipsoı̈de.

We verify, up to a logarithmic factor, the duality conjecture for entropy numbers in the case where one of the bodies is an ellipsoid.

Reçu le : 2003-02-11
Accepté le : 2003-02-25
Publié le : 2003-03-15

DOI : 10.1016/S1631-073X(03)00102-X

Affiliations des auteurs :

Shiri Artstein ¹ ; Vitali D. Milman ² ; Stanislaw J. Szarek ^{2, 3}

¹ School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
² Équipe d'analyse fonctionnelle, B.C. 186, Université Paris VI, 4, place Jussieu, 75252 Paris, France
³ Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA

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Shiri Artstein; Vitali D. Milman; Stanislaw J. Szarek. More on the duality conjecture for entropy numbers. Comptes Rendus. Mathématique, Volume 336 (2003) no. 6, pp. 479-482. doi : 10.1016/S1631-073X(03)00102-X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00102-X/

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