Operators constructed by means of basic sequences and nuclear matrices

DOI10.1186/s13662-019-2445-1zbMath1493.47028OpenAlexW2996547416WikidataQ126530641 ScholiaQ126530641MaRDI QIDQ2142017

Nashat Faried, Ahmed Morsy, Samy A. Harisa, Kottakkaran Sooppy Nisar

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2445-1

zbMATH Keywords

Schauder basisbasic sequence\(s\)-numbersnuclear operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

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• On \(\alpha\)-nuclear operators with applications to vector-valued function spaces
• \(s\)-numbers of polynomials of shift operators on \(\ell_ p\) spaces, \(1\leq p\leq\infty\)
• On linear operators with \(s\)-nuclear adjoints, \(0<s\leq 1\)
• On bases and unconditional convergence of series in Banach spaces
• p-trivial Banach spaces

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