应用数学2021，Vol.34Issue(1)：216-223,8.
Banach空间中线性算子核逆的一致有界性与收敛性
The Uniform Boundedness and Convergence for the Core Inverses of Linear Op erators in Banach Spaces
摘要
Abstract
The main topic of this paper is the relationship between uniform boundedness and convergence of the core inverses of linear operators in Banach spaces. We first obtain the equivalence of the uniform boundedness and convergence for core inverse and we give the expression of core inverse. Secondly, we investigate the stable perturbation for the core inverse and prove that the stable perturbation and the continuity of the core inverse are equivalent. As applications, we also give the continuity characterization for the core inverse of finite rank operators and derive the sufficient and necessary condition for the core inverse of the perturbed operator to have the simplest possible expression.关键词
核逆/一致有界/收敛/广义逆/稳定扰动Key words
Core inverses/Uniform boundedness/Convergence/Generalized inverse/Stable perturbation分类
数理科学引用本文复制引用
赵亚媛,陈赛杰,朱兰萍,黄强联..Banach空间中线性算子核逆的一致有界性与收敛性[J].应用数学,2021,34(1):216-223,8.基金项目
Supported by the National Natural Science Foundation of China(11771378,11871064,11971419) （11771378,11871064,11971419）
the Yangzhou University Foundation for Young Academic Leaders(2016zqn03) （2016zqn03）
the Postgraduate Research and Practice Innovation Program of Yangzhou University(XKYCX19-057) （XKYCX19-057）
