Metric entropy of convex hulls in type $p$ spaces—The critical case
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Publication:2759022
DOI10.1090/S0002-9939-01-06256-6zbMath1025.41015OpenAlexW1528538868MaRDI QIDQ2759022
Ingo Steinwart, Jakob Creutzig
Publication date: 10 December 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06256-6
Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
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 ⋮ 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
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Universal Donsker classes and metric entropy
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- Metric Entropy of Convex Hulls in Banach Spaces
- Sums of independent Banach space valued random variables
- Metric entropy of convex hulls
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