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Compact Matrix Operators on Absolute Cesàro Spaces

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Abstract More recently the absolute Cesàro space has been defined and some matrix operators on it have been studied by Sarıgöl. In this study, we have characterized the classes of… Click to show full abstract

Abstract More recently the absolute Cesàro space has been defined and some matrix operators on it have been studied by Sarıgöl. In this study, we have characterized the classes of infinite matrices where and and so we have extended some well-known results. Also, by establishing the Hausdorff measures of noncompactness of certain matrix operators on this space we give the necessary and sufficient conditions for such operators to be compact.

Keywords: compact matrix; matrix; operators absolute; absolute ces; matrix operators; ces spaces

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019

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