Solution to the Operator Equation AXA~*=B
Hong-Ke Du · Journal of Xi'an University of Arts and Science · 2008
Let A,B be two bounded linear operators on a Hilbert space H.By using the block operator matrix,when the range of A is closed,the sufficient and necessary conditions for the existence of solutions and positive operator solutions of the operator equation AXA*=B and the representation of the solutions are established.