Compact Matrix Operators Between Some Cesàro Weighted Sequence Spaces

Here, we will find necessary and sufficient conditions for matrix operator L A determined with infinite matrix A to be compact, in the case where the matrix A satisfies conditions to be mapping between certain Cesàro weighted sequence spaces. For this research, we will use Hausdorff measure of noncompactness and results related to matrix domains of triangles in certain classical sequence spaces. These results will extend some existing results related to the mentioned classes of sequence spaces.