Banach空间中基于Neumann引理的拟线性广义逆扰动定理  

A Perturbation Theorem for Quasi-linear Generalized Inverse Based on Generalized Neumann Lemma in Banach Spaces

作　　者：王紫[1] 王玉文[1] Zi WANG;Yu Wen WANG(School of Mathematical Sciences,Harbin Normal University,Harbin 150025,P.R.China)

机构地区：[1]哈尔滨师范大学数学科学学院

出　　处：《数学学报（中文版）》2018年第5期751-760,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11471091)

摘　　要：本文给出Banach空间中闭线性算子的Moore-Penrose有界拟线性投影广义逆的一种新的扰动分析方法.运用的核心工具是广义Neumann引理,这与以往其他结果中所运用的广义Banach引理的处理方法极为不同,得到了闭线性算子的Moore-Penrose有界拟线性广义逆的又一个扰动定理及三个误差界不等式.We give a new perturbation analysis method for Moor-Penrose bounded quasi-linear projection generalized inverse of closed linear operators in Banach spaces. The key tool used in this paper is the generalized Neumann lemma, which is very different from the generalized Banach lemma used in other results. We obtain another perturbation theorem for the Moore-Penrose bounded quasi-linear generalized inverse of closed linear operators and three inequalities for error estimation.

关 键 词：拟线性广义逆 扰动分析 闭线性算子 BANACH空间 

分 类 号：O177.2[理学—数学]