Abstract:
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 (A1A2) is studied, where (A1A2) is an operator from H H into H. An explict representation of the Moore-Penrose inverse of (A1A2) is given, when R(A1)∩R(A2)={0} or R(A1)R(A2)⊥.
