The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly \(C_{1}\) summable and bounded sequences

DOI10.1016/J.AMC.2010.02.004zbMath1244.47046OpenAlexW2035286682MaRDI QIDQ972154

Ivana Djolović, Eberhard Malkowsky

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.004

zbMATH Keywords

compact operatorsmatrix transformationsCesàro methodstrongly bounded and summable sequences

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Summability in abstract structures (40J05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

Infinite system of differential equations in some \(BK\) spaces ⋮ The characterization of compact operators on spaces of strongly summable and bounded sequences ⋮ Unnamed Item ⋮ Banach algebras of matrix transformations between some sequence spaces related to \(\lambda\)-strong convergence and boundedness ⋮ Compact operators into the spaces of strongly \(C_{1}\) summable and bounded sequences ⋮ On strong summability and convergence

Cites Work

• Matrix transformations on some sequence spaces related to strong Cesàro summability and boundedness
• On matrix domains of triangles
• A note on compact operators on matrix domains
• Ordinary, absolute and strong summability and matrix transformations
• On Kuttner's Theorem
• The measure of noncompactness of linear operators between spaces of strongly \(C_1\) summable and bounded sequences
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• Unnamed Item
• Unnamed Item

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