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.
Mohammadzadeh Karizaki,M , Hassani,M and Djordjevic,D . (2016). The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules. International Journal of Nonlinear Analysis and Applications, 7(2), 127-132. doi: 10.22075/ijnaa.2016.502
MLA
Mohammadzadeh Karizaki,M , , Hassani,M , and Djordjevic,D . "The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 127-132. doi: 10.22075/ijnaa.2016.502
HARVARD
Mohammadzadeh Karizaki M, Hassani M, Djordjevic D. (2016). 'The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 127-132. doi: 10.22075/ijnaa.2016.502
CHICAGO
M Mohammadzadeh Karizaki, M Hassani and D Djordjevic, "The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules," International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 127-132, doi: 10.22075/ijnaa.2016.502
VANCOUVER
Mohammadzadeh Karizaki M, Hassani M, Djordjevic D. The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules. IJNAA. 2016;7(2):127-132. doi: 10.22075/ijnaa.2016.502
International Journal of Nonlinear Analysis and Applications