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

页码：691 / 706

页数：16

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