Matrix transformations and compact operators on the binomial sequence spaces

Abstract

In this work, we characterize some matrix classes concerning the Binomial sequence spaces b(infinity)(r,s) and b(p)(r;s), where 1 <= p < infinity. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from b(0)(r,s) , b(c)(r,s) and b(infinity)(r,s) into c(0), c and l(infinity), respectively.