Banach空间中Drazin逆的新扰动定理

New Perturbation Theorem on Drazin Inverse of Linear Operator in Banach Spaces

讨论Banach空间中有界线性算子的Drazin逆的扰动问题.利用Jiu Ding在2003年给出的广义Neumann引理,给出关于Drazin逆的一个新扰动定理,并给出误差估计,推广了文献中相应的扰动结果.

In this paper, we discuss the perturbation problem on Drazin inverse of bounded linear operator in Banaeh spaces. By the generalized Neumann Lemma given by Jiu Ding in 2003, new perturbation theorem and error estimate is given in this paper, which extend the perturbation results in literature.