The characterization of compact operators on spaces of strongly summable and bounded sequences

DOI10.1016/j.amc.2010.12.007zbMath1213.47019OpenAlexW2030911965MaRDI QIDQ628857

Eberhard Malkowsky, Feyzi Basşar

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.007

zbMATH Keywords

compact operatorsHausdorff measure of noncompactnessmatrix transformationsspaces of strongly bounded and summable sequences

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Linear operators defined by compactness properties (47B07) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Compact (locally compact) metric spaces (54E45) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cites Work

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• The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly \(C_{1}\) summable and bounded sequences
• A note on compact operators on matrix domains
• Ordinary, absolute and strong summability and matrix transformations
• On Kuttner's Theorem

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