摘要
探讨了Banach空间中有界线性算子的外逆扰动问题,给出了最简表示B=T^({2})(I+δTT^({2}))^(-1)为扰动算子■=T+δT的{2,3}-逆、{2,4}-逆和{2,5}-逆的充要条件.
This paper is concerned with the perturbation problem for outer inverses of linear bounded operators in Banach spaces.Some necessary and sufficient conditions for the simplest expression B=T^({2})(I+δTT^({2}))^(-1)to be the{2,3}-inverse,{2,4}-inverse and{2,5}-inverse of the perturbed operator T=T+δTare obtained.
作者
张慧淳
潘维维
郭志荣
黄强联
ZHANG Huichun;PAN Weiwei;GUO Zhirong;HUANG Qianglian(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China;College of Mathematics Yangzhou Vocational University,Yangzhou 225009,China)
出处
《扬州大学学报(自然科学版)》
CAS
北大核心
2019年第2期8-11,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)
扬州市自然科学基金资助项目(YZ201723)
扬州大学中青年学术带头人资助项目
关键词
外逆
扰动
最简表示
{2
3}-逆
{2
4}-逆
{2
5}-逆
outer inverses
perturbation
simplest expression
{2,3}-inverses
{2,4}-inverses
{2,5}-inverses
