Approximation Theorems of Moore-Penrose Inverse by Outer Inverses

【Abstract】 Let X and Y be Hilbert spaces and T a bounded linear operator from X into Y with a separable range. In this note, we prove, without assuming the closeness of the range of T , that the Moore-Penrose inverse T + of T can be approximated by its bounded outer inverses T n# with finite ranks.更多还原