Core-EP inverses in Banach algebras

被引：17
|
作者：
Mosic, Dijana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 16期
关键词：
Core-EP inverse; core inverse; Drazin inverse; Banach algebra; MOORE-PENROSE INVERSE; SPACE OPERATORS; RINGS;
D O I：
10.1080/03081087.2019.1701976
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the e-core-EP inverse and the core-EP inverse for elements of Banach algebras. Several characterizations and representations for these inverses are presented using idempotents and Drazin inverses. Then, we define the e-core inverse of elements in Banach algebras and give its characterizations, generalizing the related results of the core inverse.
引用
收藏
页码：2976 / 2989
页数：14
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