Characterization of the compact operators on the class (bv, b v k ?)

Abstract

The space bv, the set of all bounded variation sequences, has an important role in the summability theory. In recent study, this spaces has been extended to the space bvk? and some matrix class on this space has been characterized [2]. In the present paper, for 1 ? k < ?, computing Hausdorff measure of non-compactness, we characterize compact operators in the class (bv, bvk?), where ? is a sequence of positive numbers. © 2019 Author(s).