斜投影算子Moore-Penrose逆的表示（英文）  

Representations of the Moore-Penrose Inverses of Oblique Projection Operators

作　　者：邵春芳 叶培新[1] Shao Chunfang;Ye Peixin(School of Mathematical Sciences and LPMC, Nanleai University, Tianjin 300071, China)

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2017年第5期28-35,共8页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the Nature Science Foundation of China(11271199);the Nature Science Foundation of Shaanxi Provincial Department of Education(11JK0483)

摘　　要：基于空间分解的方法和技巧给出了希尔伯特空间中斜投影算子Moore-Penrose逆的矩阵表示.应用该矩阵进一步讨论并得到了两个斜投影算子的差的Moore-Penrose逆的存在条件和矩阵表示,使得斜投影算子的Moore-Penrose逆的结构更加清晰.Based on the space decomposition technique, the block matrix representations of the MoorePenrose inverses of the oblique projections on a Hilbert space are given. As an application, the existence and block matrix representations of the Moore-Penrose inverses of the differences of two oblique projections are obtained.

关 键 词：MOORE-PENROSE逆 斜投影算子 算子矩阵 空间分解 幂等算子 

分 类 号：O177.1[理学—数学]