Explicit solution to modular operator equation TXS*SX*T*= A
Mehdi Mohammadzadeh Karizaki, Mahmoud Hassani, Sever S Dragomir · Kragujevac Journal of Mathematics · 2016
In this paper, by using some block operator matrix techniques, we find explicit solution of the operator equation TXS*SX*T*= A in the general setting of the adjointable operators between Hilbert C*-modules. Furthermore, we solve the operator equation TXS*SX*T*= A, when ran(T) + ran(S) is closed.