Metric entropy of convex hulls

DOI10.1007/BF02784136zbMath0991.46011MaRDI QIDQ5939291

Fuchang Gao

Publication date: 29 July 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

covering numbermetric entropyprecompact setseparable Hilbert space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items

Gelfand numbers and metric entropy of convex hulls in Hilbert spaces, Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets, Entropy of convex hulls -- some Lorentz norm results, Kuelbs-Li inequalities and metric entropy of convex hulls, Metric entropy of $q$-hulls in Banach spaces of type-$p$, Bounds for entropy numbers for some critical operators, Optimality of CKP-inequality in the critical case, The local geometry of finite mixtures, Non-zero boundaries of Leibniz half-spaces, Metric entropy of convex hulls in type $p$ spaces—The critical case, A lower estimate for entropy numbers, Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\), Entropy numbers of embeddings of Besov spaces in generalized Lipschitz spaces, Entropy numbers of convex hulls in Banach spaces and applications

Cites Work

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• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Metric Entropy of Convex Hulls in Hilbert Spaces
• Metric Entropy of Convex Hulls in Banach Spaces