On The Solutions Of Quasi – Lyapunov Operator Equations

Abstract

In this paper, some theorems are modified to ensure theexistence and uniqueness of the solution for the Quasi –Lyapunov operator equation.Also, the range of the Quasi – Lyapunov equation isstudied. As well as, the nature of the solution for the Quasi –Lyapunov operator equation is studied for special types ofoperators.