On The Solutions Of Quasi – Lyapunov Operator Equations
الكلمات المفتاحية:
Lyapunov equations، Sylvester equation، Linear operator equations، Sylvester – Rosenblum Theorem.الملخص
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.