Compactness of quadruple band matrix operator and geometric properties

Abstract

In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, we determine some geometric properties of the sequence space lp(Q).

Keywords

• matrix transformations
• matrix domain
• compact operators
• hausdorff measure of noncompactness
• matrix classes