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Entropy numbers of vector-valued diagonal operators.

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Publication:1867493
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DOI10.1006/jath.2002.3690zbMath1160.46307OpenAlexW2063608492MaRDI QIDQ1867493

Eduard Belinsky

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3690


zbMATH Keywords

entropy numbersdiagonal operator


Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) 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)


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An upper bound on the Kolmogorov widths of a certain family of integral operators ⋮ Almost optimal estimates for entropy numbers of \(B_{2,2}^{1/2}\) and its consequences



Cites Work

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  • Geometric and probabilistic estimates for entropy and approximation numbers of operators
  • Entropy numbers of diagonal operators between symmetric Banach spaces
  • Entropy Numbers and Approximation Numbers in Function Spacess
  • A lower estimate for entropy numbers
  • Entropy numbers of embeddings of Besov spaces in generalized Lipschitz spaces
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