An abstract result on Cohen strongly summing operators

TL;DR

This paper provides an abstract characterization of Cohen strongly summing operators, extending the results to multilinear operators and offering new alternative descriptions of their class.

Contribution

The paper introduces a novel abstract framework for Cohen strongly summing operators and extends these results to multilinear operators, providing new characterizations.

Findings

Characterization of Cohen strongly summing operators

Extension to multilinear operators

New alternative descriptions of operator classes

Abstract

We present an abstract result that characterizes the coincidence of certain classes of linear operators with the class of Cohen strongly summing linear operators. Our argument is extended to multilinear operators and, as a consequence, we establish a few alternative characterizations for the class of Cohen strongly summing multilinear operators.