More on the duality conjecture for entropy numbers.

DOI10.1016/S1631-073X(03)00102-XzbMath1042.52001WikidataQ123129054 ScholiaQ123129054MaRDI QIDQ1408115

Stanislaw J. Szarek, Shiri Artstein-Avidan, Vitali D. Milman

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

covering numbermetric entropyunit ballduality conjecture

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Duality of metric entropy in Euclidean space.

Cites Work

• Entropy and asymptotic geometry of non-symmetric convex bodies
• Proportional concentration phenomena on the sphere
• A geometric approach to duality of metric entropy
• A new approach to several results of V. Milman.
• Extensions of Lipschitz mappings into a Hilbert space
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