On The Solutions Of Quasi – Lyapunov Operator Equations
Keywords:
Lyapunov equations, Sylvester equation, Linear operator equations, Sylvester – Rosenblum Theorem.Abstract
In this paper, some theorems are modified to ensure the existence and uniqueness of the solution for the Quasi –
Lyapunov operator equation.
Also, the range of the Quasi – Lyapunov equation is studied. As well as, the nature of the solution for the Quasi –
Lyapunov operator equation is studied for special types of operators.
