Moore-Penrose逆、群逆的稳定扰动和表示  

Stable perturbation and expression of Moore-Penrose inverse and group inverse

作　　者：周娟娟 朱兰萍[1] 黄强联[1] ZHOU Juanjuan;ZHU Lanping;HUANG Qianglian(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2021年第5期19-22,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11771378,11871064).

摘　　要：利用正则分解研究了Banach空间中有界线性算子的Moore-Penrose逆和群逆的稳定扰动问题,给出了稳定扰动下,扰动后算子的Moore-Penrose逆和群逆的表示.In this paper,the author uses the regular factorization to investigate the stable perturbation for Moore-Penrose inverse and group inverse of linear bounded operators in Banach spaces.Some concise expressions for Moore-Penrose inverse and group inverse under the stable perturbation are obtained.

关 键 词：MOORE-PENROSE逆 群逆 稳定扰动 表示 

分 类 号：O177.2[理学—数学]