On convexified packing and entropy duality

Geometric and Functional Analysis

Volumn 14, Issue 5, 2004, Pages 1134-1141

  Artstein, S ^a,b   Milman, V ^a   Szarek, S ^c,d   Tomczak Jaegermann, N ^e  

^a TEL AVIV UNIVERSITY   (Israel)

^b PRINCETON UNIVERSITY   (United States)

^c CASE WESTERN RESERVE UNIVERSITY   (United States)

^d SORBONNE UNIVERSITÉ   (France)

^e UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12744268069     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-004-0486-3     Document Type: Article

References (10)

1. [AMS] S. ARTSTEIN, V.D. MILMAN, S.J. SZAREK, Duality of metric entropy, Annals of Math. 159:3 (2004), in press.
2. [BPST] J. BOURGAIN, A. PAJOR, S.J. SZAREK, N. TOMCZAK-JAEGERMANN, On the duality problem for entropy numbers of operators, Geometric Aspects of Functional Analysis (1987-88), Springer Lecture Notes in Math. 1376 (1989), 50-63.
3. [GLS] M. GRÖTSCHEL, L. LOVÁSZ, A. SCHRIJVER, Geometric Algorithms and Combinatorial Optimization, Algorithms and Combinatorics, 2. Springer-Verlag, Berlin, 1993.
4. [KM] H. KÖNIG, V.D. MILMAN, On the covering numbers of convex bodies, Geometric Aspects of Functional Analysis (1985-86), Springer Lecture Notes in Math. 1267 (1987), 82-95.
5. [MP] B. MAUREY, G. PISIER, Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach (in French), Studia Math. 58:1 (1976), 45-90.
6. [P] A. PIETSCH, Theorie der Operatorenideale (Zusammenfassung), Friedrich-Schiller-Universität Jena, 1972.
7. [Pi1] G. PISIER, Remarques sur un résultat non publié de B. Maurey (in French), Séminaire d'Analyse Fonctionnelle, 1980-1981, Exp. No. V, 13 pp. École Polytechnique, Palaiseau, 1981.
8. [Pi2] G. PISIER, The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Mathematics, 94, Cambridge University Press, Cambridge, 1989.
9. [Pi3] G. PISIER, A new approach to several results of V. Milman, J. reine angew. Math. 393 (1989), 115-131.
10. [T] N. TOMCZAK-JAEGERMANN, Dualité des nombres d'entropie pour des opérateurs à valeurs dans un espace de Hilbert (in French), C.R. Acad. Sci. Paris Sér. I Math. 305:7 (1987), 299-301.