Compact matrix operators on Banach space of absolutely k-summable series

Abstract

In a more recent paper [23], Banach spaces of absolutely k -summable series mid T_varphimid_{k} have been introduced and studied by Sarıgöl and Agarwal. In this paper, we characterize matrix and compact operators from the space mid T_varphimid_{k} to the classical spaces c0, c and l∞, by determining identities or estimates for operator norms and the Hausdorff measure of noncompactness.