Weighted weak group inverse for Hilbert space operators

被引：19

作者：

Mosic, Dijana ^{[1
]}

Zhang, Daochang ^{[2
]}

机构：

[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

[2] Northeast Elect Power Univ, Coll Sci, Jilin 132012, Jilin, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Weak group inverse; weighted core-EP inverse; Wg-Drazin inverse; Hilbert space; DRAZIN INVERSE; MATRICES;

D O I：

10.1007/s11464-020-0847-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, and we extend the notation of the weighted weak group inverse for rectangular matrices. Some characterizations and representations of the weighted weak group inverse are investigated. We also apply these results to define and study the weak group inverse for a Hilbert space operator. Using the weak group inverse, we define and characterize various binary relations.

引用

页码：709 / 726

页数：18

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