On the entropy of the convex hull of finite sets

DOI10.1090/S0002-9939-99-05302-2zbMath0970.46005MaRDI QIDQ4955836

Ioanna Kyrezi

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

metric entropyentropy numbersGel'fand diameters

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) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (2)

Entropy of convex hulls -- some Lorentz norm results ⋮ Entropy numbers of convex hulls in Banach spaces and applications

Cites Work

• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• Gelfand numbers of operators with values in a Hilbert space
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Convex Bodies with Few Faces
• Metric Entropy of Convex Hulls in Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the entropy of the convex hull of finite sets