On compact operators on the Riesz B-m-difference sequence space

Abstract

In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space rpq(Bm), which is a special case of the paranormed Riesz Bm-difference sequence space rq, (p, Bm). For this purpose, we apply the Hausdorff measure of noncompactness and use some results.