Document Type : Research Paper
Authors
1 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran
2 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
3 D. S. Djordjevic, Faculty of Sciences and Mathematics, University of acute; Nis, Visegradska 33, P.O. Box 224, 18000 Nis, Serbia.
Abstract
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.
Keywords