有界线性算子的{1,2,3},{1,2,4}-逆的反序律  

Reverse Order Law for {1,2,3} and {1,2,4}-inverses of Bounded Linear Operators

作　　者：武淑霞[1] 刘晓冀[2] WU Shu-xia;LIU Xiao-ji(Department of Mathematics,Sichuan University for Nationalities,Kangding 626001,China;School of Science,Guangxi University for Nationalities,Nanning 530006,China)

机构地区：[1]四川民族学院数学系,四川康定626001 [2]广西民族大学理学院,广西南宁530006

出　　处：《宜春学院学报》2013年第12期24-26,共3页Journal of Yichun University

基　　金：四川民族学院科研项目(12XYZB007)

摘　　要：利用算子的矩阵分块技巧,给出了Hilbert空间中有界线性算子的{1,2,3}和{1,2,4}-逆的反序律成立的充要条件,进而给出了Moore-Penrose逆的反序律成立的新的等价条件。Using some block-operator matrix techniques,necessary and sufficient conditions for the reverse order law to hold for{1,2,3}and{1,2,4}-inverses of bounded linear operators on Hilbert spaces were given.Furthermore,new results related to the reverse order law for the Moore-Penrose inverse were presented.

关 键 词：矩阵分块 反序律 Moore—Penrose逆 {1 2 3}-逆 {1 2 4}-逆 

分 类 号：O151[理学—数学]