The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras-Reference-Cited by-同舟云学术

The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras

Published:2013 Issue:5 Volume:27 Page:851-863
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Cao Jianbing¹,Xue Yifeng²

Affiliation:

1. Department of Mathematics, Henan Institute of Science and Technology Xinxiang, Henan, PR. China + Department of Mathematics, East China Normal University, Shanghai, P.R. China%SR92-01.45

2. Department of mathematics, East China Normal University Shanghai, P.R. China%SR92-01.45

Abstract

In this paper, we investigate the various different generalized inverses in a Banach algebra with respect to prescribed two idempotents p and q. Some new characterizations and explicit representations for these generalized inverses, such as a(2)p,q, a(1,2)p,q and a(2,l)p,q will be presented. The obtained results extend and generalize some well-known results for matrices or operators. .

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Outer inverses in semigroups belonging to the prescribed Green’s equivalence classes;Semigroup Forum;2023-09-20

2. Weighted inner inverse for rectangular matrices;Quaestiones Mathematicae;2020-10-19

3. Representations for the image-kernel (p,q)-inverses of block matrices in rings;Georgian Mathematical Journal;2020-06-01

4. Miscellaneous equalities for idempotent matrices with applications;Open Mathematics;2020-01-01

5. On the (b,c)-inverse in rings;Filomat;2018