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In this study, we give characterization of the matrix classes (|C−1|k ,X) , where the spaces |C−1|k ,k 1 have been defined and studied by Hazar and Sarıgöl in [15] and X = {c0,c, ∞}. Also, we determine the Hausdorff measures of noncompactness of certain matrix operators on the spaces |C−1|k and apply our results to characterize some classes of compact operators on those spaces. So, we extend some well known results. Mathematics subject classification (2010): 40C05, 40D25, 40F05, 46A45.

Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means