Solutions to a Class of Operator Equation
Hong-Ke Du · Journal of Jilin University(Science Edition) · 2012
With the help of block operator matrix,the sufficient and necessary conditions for the existence of solutions to the operator equation AXB*+BX*A*=C and the representation of solutions were established.Especially,when B is an orthogonal projection P,the sufficient and necessary conditions for the existence of solutions to the operator equation AXP+PX*A*=C and the representation of solutions were also given.