WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

被引：1
|
作者：
Qin, Mengjie [1 ]
Xu, Qingxiang [1 ]
Zamani, Ali [2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Farhangian Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hilbert C*-module; weighted Moore-Penrose inverse; indefinite inner-product space; MATRICES;
D O I：
10.4134/JKMS.j190306
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Necessary and sufficient conditions are provided under which the weighted Moore-Penrose inverse A(MN)(dagger) exists, where A is an adjointable operator between Hilbert C*-modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore-Penrose inverses A(MN)(dagger) is clarified when A is fixed, whereas M and N are variable. Perturbation analysis for the weighted Moore-Penrose inverse is also provided.
引用
收藏
页码：691 / 706
页数：16
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