The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules

Authors

  • Dragan Djordjevic D. S. Djordjevic, Faculty of Sciences and Mathematics, University of ´ Nis, Visegradska 33, P.O. Box 224, 18000 Nis, Serbia.
  • Mahmoud Hassani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
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.

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Journal title

volume 7  issue 2

pages  127- 132

publication date 2016-11-14

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