Moore-Penrose inverses of 1×2 operator matrices
Hong-Ke Du · Journal of Shaanxi Normal University · 2008
Let A1,A2 be two bounded linear operators on a Hilbert space H.By using the technique of block operator matrix,the Moore-Penrose inverse of a 1×2 operator matrix(A1 A2) is studied,where(A1 A2) is an operator from H⊙H into H.An explict representation of the Moore-Penrose inverse of(A1 A2) is given,when R(A1)∩R(A2)={0} or R(A1)■R(A2)⊥.