Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces

Abstract

In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22]. Further, by applying the Hausdorff measure of noncompactness, we determine the necessary and sufficient conditions for such operators to be compact and so the some well known results are generalized.