Weighted G-Drazin inverse for operators on Banach spaces

被引：0
作者：
Mosic, Dijana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2019年 / 35卷 / 02期
关键词：
weighted G-Drazin inverse; Wg-Drazin inverse; G-Drazin partial order; minus partial order; BINARY RELATIONS; PARTIAL ORDERS; CORE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized and some new ones are proved. Using weighted G-Drazin inverses, we introduce and characterize a new weighted pre-order on the set of all bounded linear operators between two Banach spaces. As an application, we present and study the G-Drazin inverse and the G-Drazin partial order for operators on Banach space.
引用
收藏
页码：171 / 184
页数：14
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