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

Artstein, Shiri1 ; Milman, Vitali D.2 ; Szarek, Stanislaw J.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, Tome 336 (2003) no. 6, pp. 479-482.

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 :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00102-X
Artstein, Shiri 1 ; Milman, Vitali D. 2 ; Szarek, Stanislaw J. 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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Artstein, Shiri; Milman, Vitali D.; Szarek, Stanislaw J. More on the duality conjecture for entropy numbers. Comptes Rendus. Mathématique, Tome 336 (2003) no. 6, pp. 479-482. doi : 10.1016/S1631-073X(03)00102-X. http://www.numdam.org/articles/10.1016/S1631-073X(03)00102-X/

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