闭算子Drazin逆扰动的误差范围

ERROR BOUNDS FOR PERTURBATION OF THE DRAZIN INVERSE OF CLOSED OPERATORS

在参考文献[1]中,给出Bπ=Aπ的情况下,闭算子Drazin逆扰动的刻画,本文将上述结果进行推广,在‖Bπ-Aπ‖比较小的情况下,得到此问题的解答.

In the [ 1 ] , It has been studied by perturbation of the Drasin inverse of closed operators with B^π = A^π. In this paper, we extend these results. We study perturbations of the Drazin inverse of closed linear operators for the case when ｜｜ B^π -A^π ｜｜ is very smaller.