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.
Keywords
Lyapunov equations, Sylvester equation, Linear operator equations, Sylvester – Rosenblum Theorem.Metrics