On Schauder bases in the Lorentz operator ideal

DOI10.1016/0022-247X(83)90146-4zbMath0524.46007MaRDI QIDQ585516

Fernando Cobos, M. A. Fugarolas

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder basisapproximation schemesHilbert-Schmidt operatorsinterpolation spacesshrinkingboundedly completeconstruct non-Besselian and non-Hilbertian basesLorentz operator idealtensor products of bases

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

A compactness result of Janson type for bilinear operators ⋮ On Besselian Schauder bases in \(\ell_ p(E)\)

Cites Work

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• Bases of tensor products of Banach spaces
• Weyl numbers and eigenvalues of operators in Banach spaces
• Approximation spaces
• Interpolation of operator ideals with an application to eigenvalue distribution problems
• \(c_ p\)
• s-numbers, eigenvalues and the trace theorem in Banach spaces
• Schwartz Spaces, Nuclear Spaces and Tensor Products
• Introduction to the Theory of Bases
• Hilbertian, Besselian, and semi-shrinking bases

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