1Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran
2Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
3D. S. Djordjevic, Faculty of Sciences and Mathematics, University of ´ Nis, Visegradska 33, P.O. Box 224, 18000 Nis, Serbia.
In this paper, we find explicit solution to the operator equation $TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $T,S$ have closed ranges and $S$ is a self adjoint operator.