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 r(p)(q) (B-m), which is a special case or the paranormed Riesz B-m-difference sequence space r(q) (p, B-m). For this purpose, we apply the Hausdorff measure or noncompactness and use some results.