Compact operators on the Jordan totient sequence spaces

The necessary and sufficient conditions for compactness of a matrix operator between Banach spaces is obtained by utilizing the concept of the Hausdorff measure of noncompactness. This is one of the most interesting application in the theory of sequence spaces. In this paper, the compact operators are characterized on Jordan totient sequence spaces by using the concept of the Hausdorff measure of noncompactness.

Automated summary

This paper explores the necessary and sufficient conditions for compactness of a matrix operator between Banach spaces, as well as characterizing compact operators on Jordan totient sequence spaces. The concept of the Hausdorff measure of noncompactness plays a crucial role in both analyses.