On the solvability of generalized Sylvester operator equations
Hua Wang, Xiaolin Sun, Jun ie Huang · Operators and Matrices · 2022
In this paper, some necessary and sufficient solvability conditions are established for the generalized Sylvester operator equations AXB -CXD = E , AXB -CY D = E and AX + Y B + CZ = E on Hilbert spaces, respectively. Moreover