The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 7، شماره 2، 2016، صفحه 127-132 اصل مقاله (309.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.502 | ||
| نویسندگان | ||
| Mehdi Mohammadzadeh Karizaki* 1؛ Mahmoud Hassani2؛ Dragan Djordjevic3 | ||
| 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 acute; Nis, Visegradska 33, P.O. Box 224, 18000 Nis, Serbia. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Operator equation؛ Moore-Penrose inverse؛ Hilbert $C^*$-module | ||
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