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Abstract This paper is devoted to the study of domain of a recently defined conservative matrix in the spaces of p-absolutely summable sequences and bounded sequences. The aforementioned matrix is… Click to show full abstract
Abstract This paper is devoted to the study of domain of a recently defined conservative matrix in the spaces of p-absolutely summable sequences and bounded sequences. The aforementioned matrix is obtained by using the fascinating Catalan numbers. After determining the β-duals of the newly defined Banach spaces, the characterization of some matrix operators are obtained. Finally, the characterization of certain compact operators is presented by utilizing the Hausdorff measure of non-compactness.
Keywords:
matrix transformations;
sequence spaces;
catalan sequence;
transformations compact;
compact operators;
operators catalan
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!