Entropy numbers of tensor products of operators

DOI10.1007/BF02559486zbMath1047.47502MaRDI QIDQ1320530

Hans-Olav Tylli, David E. Edmunds

Publication date: 1993

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

stabilityapproximation numbersentropy numbersoperator idealsvolume estimatessummability propertiesmixed Schatten \(c_p\)- and Hilbert-Schmidt tensor normstensor products of operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spaces of operators; tensor products; approximation properties (46B28) Operator ideals (47L20) Tensor products of linear operators (47A80)

Cites Work

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• On the tensor stability of \(s\)-number ideals
• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• Complex interpolation of some quasi-Banach spaces
• Geometric and probabilistic estimates for entropy and approximation numbers of operators
• Tensor products of sequences, functions, and operators
• Entropy numbers of diagonal operators with an application to eigenvalue problems
• γ-Radonifying operators and entropy ideals
• The main triangle projection in matrix spaces and its applications

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