New covering numbers and spectral properties of operators in Banach spaces

DOI10.1007/BF01907343zbMath0895.47015OpenAlexW1781318204MaRDI QIDQ1192653

Bernd Carl, Endre jun. Makai

Publication date: 27 September 1992

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01907343

zbMATH Keywords

approximation numberscovering numbersentropy numbersGelfand numbers

Mathematics Subject Classification ID

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

Related Items (3)

Embeddings, Hardy operators and nonlinear problems ⋮ On \(s\)-numbers, quasi \(s\)-numbers, \(s\)-moduli and Weyl inequalities of operators in Banach spaces ⋮ Estimates of covering numbers

Cites Work

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• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• Gelfand numbers of operators with values in a Hilbert space
• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• Eigenvalue distribution of compact operators
• A formula for the eigenvalues of a compact operator

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