Optimality of CKP-inequality in the critical case

DOI10.1090/S0002-9939-2013-11825-3zbMath1285.41016OpenAlexW2062963734MaRDI QIDQ5401672

Fuchang Gao

Publication date: 11 March 2014

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

Full work available at URL: http://www.ams.org/journals/proc/2014-142-03/S0002-9939-2013-11825-3

zbMATH Keywords

convex hullmetric entropysmall ball probabilityCKP inequality

Mathematics Subject Classification ID

Gaussian processes (60G15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Metric entropy of $q$-hulls in Banach spaces of type-$p$ ⋮ Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\) ⋮ Entropy numbers of convex hulls in Banach spaces and applications

Cites Work

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• Kuelbs-Li inequalities and metric entropy of convex hulls
• Metric entropy and the small ball problem for Gaussian measures
• Gelfand numbers and metric entropy of convex hulls in Hilbert spaces
• Small deviation probability via chaining
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Metric entropy of convex hulls in type $p$ spaces—The critical case
• Metric Entropy of Convex Hulls in Hilbert Spaces
• Metric Entropy of Convex Hulls in Banach Spaces
• ENTROPY OF ABSOLUTE CONVEX HULLS IN HILBERT SPACES
• Metric entropy of convex hulls

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