Some relations between entropy and approximation numbers

DOI10.1007/BF02882243zbMath0961.47008OpenAlexW2014553909MaRDI QIDQ1585564

Zhi Ming Zheng

Publication date: 16 November 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882243

zbMATH Keywords

Hilbert spacesapproximation numbersexponential decayentropy numbers

Mathematics Subject Classification ID

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

Cites Work

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• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• Inequalities between entropy and approximation numbers of compact maps
• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• Infinite-dimensional dynamical systems in mechanics and physics
• Relations between approximation numbers and entropy numbers

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