Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
The authors present some solvability conditions for the equations \(A_1X = C_1\), \(XB_1 = C_2\), \(A_3XA_3^* = C_3\), \(A_4XA_4^* = C_4\) to possess common Hermitian solution and give an expression for this common Hermitian solution when the solvability conditions are satisfied.
scientific article; zbMATH DE number 5706974