Banach空间中线性算子Moore-Penrose度量广义逆的扰动  

Perturbation of Moore-Penrose Metric Generalized Inverse of Linear Operators in Banach Space

作　　者：孙爽[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》2009年第6期1-3,共3页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金资助项目(10671049)

摘　　要：应用度量稳定扰动的定义及广义正交分解定理,给出在一般范数下有界线性算子的Moore-Penrose单值度量广义逆的误差界估计,并推导出其度量广义逆扰动的范数估计.因为度量广义逆一般为有界齐性的非线性算子,所以其扰动定理的证明与线性广义逆的扰动定理完全不同.We apply the definition of stable perturbation and generalized orthogonal decomposition theorem to give the Moore-Penrose metric generalized inverse error bound estimate under normal norm,and derive the norm estimate of the perturbation of Moore-Penrose metric generalized inverse.Because the Moore-Penrose metric generalized inverse is a bounded homogeneous nonlinear operator in general,the proof of its perturbation theorem and linear generalized inverse perturbation theorem is completely different.

关 键 词：BANACH空间 有界线性算子 度量广义逆 扰动 

分 类 号：O151.2[理学—数学]