Banach空间中有界线性算子的Moore-Penrose度量广义逆的扰动分析  

PERTURBATION ANALYSIS FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACE

作　　者：马海风[1] 李双臻[1] 刘冠琦[1] 王玉文[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2008年第6期1-3,11,共4页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金资助项目(10671049);黑龙江省教育厅科学技术资助项目(11531248)

摘　　要：对度量广义逆中Moore-Penrose度量广义逆的扰动进行了初步的研究.给出了度量稳定扰动的定义,应用度量稳定扰动的定义及广义正交分解定理给出在一定的范数下,有界线性算子的单值度量广义逆Moore-Penrose度量广义逆的误差界估计.In this paper, we have carried on the preliminary inquisition to perturbation analysis for Moore -Penrose metric generalized inverse of bounded linear operators in Banach space. In here, we have given the definition of stable perturbation, and then we apply this definition and generalized orthogonal decomposition theorem to give under certain norm Moore -Penrose metric generalized inverse error bound estimate.

关 键 词：BANACH空间 度量广义逆 扰动 

分 类 号：O151.2[理学—数学] O177.1[理学—基础数学]