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. & 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. https://doi.org/10.22075/ijnaa.2016.502
MLA
Mohammadzadeh Karizaki, M., Hassani, M., & 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
Mohammadzadeh Karizaki, M., Hassani, M. & 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
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