On a characterization of operators from \(l_ q \)into a Banach space of type p with some applications to eigenvalue problems
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Publication:1838148
DOI10.1016/0022-1236(82)90093-3zbMath0509.47017OpenAlexW1969530712MaRDI QIDQ1838148
Publication date: 1982
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(82)90093-3
Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)
Related Items (9)
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces ⋮ Eigenvalues of compact operators with applications to integral operators ⋮ Entropy and Lorentz-Marcinkiewicz operator ideals ⋮ Small deviations of weighted fractional processes and average non–linear approximation ⋮ Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\) ⋮ Entropy numbers of convex hulls in Banach spaces and applications ⋮ Entropy numbers of operators factoring through general diagonal operators ⋮ Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces ⋮ The computational complexity of densest region detection
Cites Work
- Weyl numbers and eigenvalues of operators in Banach spaces
- Eigenvalues of integral operators. I
- On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces
- Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
- Entropy numbers, s-numbers, and eigenvalue problems
- Entropy numbers of diagonal operators with an application to eigenvalue problems
- Approximation spaces
- Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
- Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
- Sums of independent Banach space valued random variables
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