Hilbert空间稠定闭线性算子的Moore-Penrose正交广义逆的扰动分析  

Moore-Penrose Orthogonal Generalized Inverse of the Perturbation Analysis of the Hilbert Space Densely Defined Closed Linear Operator Perturbation Analysis

作　　者：陈静仁[1] 王玉文[1] 

机构地区：[1]哈尔滨师范大学数学与应用数学学院,黑龙江哈尔滨150025

出　　处：《数学的实践与认识》2012年第17期233-237,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071051)

摘　　要：主要研究Hilbert空间具有闭值域的稠定闭线性算子的Moore-Penrose正交广义逆的扰动,并且在原有的第一类,第二类扰动的基础上定义了第三类和第四类扰动,并得到了相应的性质和结论.This paper studies Hilbert space has a closed range of densely defined closed linear operator Moore-＇Penorse orthogonal generalized inverse of the perturbation,and in this paper, the first class, second class of perturbations on the basis of the definition perturbation in the third and fourth categories, and the nature and conclusions.

关 键 词：第三类扰动 第四类扰动 Moore—Penrose广义逆扰动 

分 类 号：O151.21[理学—数学] O177.1[理学—基础数学]