具有公共的零点特征投影的有界线性算子的表示

摘要

In this paper, the authors give the representation of all Drazin invertible operator B which shares the spectral projections at 0 with a given Drazin invertible operator A. Meanwhile, some related results for EP operators with closed range are obtained.%该文给出了与给定的Drazin可逆的有界线性算子有公共的零点特征投影的全体有界线性算子的表示.作为应用,获得了一些关于闭值域EP算子的特征及其扰动的结果.