摘要
利用内逆和正则分解研究Hilbert空间中有界线性算子核逆的存在性问题,得到核逆存在的充要条件和具体表达式,并给出了稳定扰动及保核扰动下算子核逆的表达式与性质.
In this paper,the inner inverse and regular factorization are used to investigate the existence for the core inverse of linear bounded operators in Hilbert space.The sufficient and necessary conditions and some concise expressions for the core inverse are given.The expressions and properties of the core inverse under the stable perturbation and the null space preserving perturbation are also obtained.
作者
戴洁
朱兰萍
黄强联
DAI Jie;ZHU Lanping;HUANG Qianglian(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2023年第5期9-14,共6页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11771378)。
关键词
核逆
内逆
正则分解
稳定扰动
表示
core inverse
inner inverse
regular factorization
stable perturbation
expression
