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 􀝎􀯣 􀯤􁈺􀜤􀯠􁈻, which is a special case of the paranormed Riesz 􀜤􀯠-difference sequence space 􀝎􀯤􁈺􀝌, 􀜤􀯠􁈻. For this purpose, we apply the Hausdorff measure of noncompactness and use some results.