Entropy of \(C(K)\)-valued operators

DOI10.1006/jath.1999.3428zbMath0957.47021OpenAlexW2007965529WikidataQ59196447 ScholiaQ59196447MaRDI QIDQ1976276

Ingo Steinwart

Publication date: 25 March 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3428

zbMATH Keywords

entropy numbersHölder-continuous operator

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (9)

Gelfand numbers and metric entropy of convex hulls in Hilbert spaces ⋮ Entropy of convex hulls -- some Lorentz norm results ⋮ Kolmogorov numbers of Riemann-Liouville operators over small sets and applications to Gaussian processes ⋮ Nondeterminism of linear operators and lower entropy estimates ⋮ A short note on the comparison of interpolation widths, entropy numbers, and Kolmogorov widths ⋮ Metric entropy of convex hulls in type $p$ spaces—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 ⋮ Gaussian approximation numbers and metric entropy

Cites Work

• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• s-numbers of integral operators with Hölder continuous kernels over metric compacta
• Gelfand numbers of operators with values in a Hilbert space
• Entropy numbers, s-numbers, and eigenvalue problems
• Entropy numbers of diagonal operators between symmetric Banach spaces
• Some estimates on entropy numbers
• Entropy of \(C(X)\)-valued operators and diverse applications
• Metric Entropy of Convex Hulls in Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Entropy of \(C(K)\)-valued operators