Characterizations of compact operators on some Euler spaces of difference sequences of order m

In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Başar ([17]) defined the Euler spaces of m-th order difference sequences and and characterized some classes of matrix transformations on them. In our paper, we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces. For that purpose, the spaces are treated as the matrix domains of a triangle in the classical sequence spaces c0, c and l∞. The main tool for our characterizations is the Hausdorff measure of noncompactness.