Positive Solutions of Operator Equation AX=C
Tian Xue-gang · Journal of Xi'an University of Arts and Science · 2007
Using the technique of block-operator matrices of bounded linear operators on a Hilbert space,the properties of operator matrices and the Moore-Penrose inverse of A,the sufficient and efficient conditions is obtained in which the operator equation AX = C has self-adjoint and positive solutions.Finally,the generalized self-adjoint and positive solutions of AX = C are given.