摘要
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.
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 Tn^# with finite ranks.
基金
Project supported by the National Science Foundation of China (Grant No. 10571150 and No. 10271053).
