THE SOLUTIONS OF SOME OPERATOR EQUATIONS
Dragana S. Cvetković‐Ilić · Journal of the Korean Mathematical Society · 2008
In this paper we consider the solvability and describe the set of the solutions of the operator equations $AX+X^{*}C=B$ and $AXB+B^{*}X^{*}A^{*}=C$ . This generalizes the results of D. S. Djordjevic [Explicit solution of the operator equation $A^{*}X+X^{*}$ A=B, J. Comput. Appl. Math. 200(2007), 701-704].