Maximality of Linear Operators

TL;DR

This paper investigates conditions under which the inclusion relation between linear operators becomes an equality, extending maximality results to non-bounded operators.

Contribution

It provides new maximality results for non-bounded linear operators, clarifying when operator inclusion implies equality.

Findings

Established conditions for operator inclusion to be an equality.

Extended maximality results to non-bounded operators.

Clarified the structure of operator maximality in this setting.

Abstract

We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the "inclusion" between operators becomes a full equality.