Solvability of The Operator Equations $AX-XB=C$ and $AX-YB=C$

Farida Lombarkia, Assia Bezai, Néstor Thome

This paper provides new necessary and sufficient conditions for the solvability to the operator equations $AX-XB=C$ and $AX-YB=C,$ where $A$ and $B$ are group invertible operato…