81 citations · 87 across the 12 of their papers we have counts for
5 papers · 1 filter
Additive property of pseudo Drazin inverse of elements in a Banach algebra
Huihui Zhu, Jianlong Chen
We study properties of pseudo Drazin inverse in a Banach algebra with unity 1. If and are pseudo Drazin invertible, we prove that is pseudo Drazin invertible if…
Additive and product properties of Drazin inverses of elements in a ring
Huihui Zhu, Jianlong Chen
We study the Drazin inverses of the sum and product of two elements in a ring. For Drazin invertible elements and such that and , it is shown that …
Representations of the Drazin inverse involving idempotents in a ring
Huihui Zhu, Jianlong Chen
We present some formulae for the Drazin inverse of difference and product of idempotents in a ring. A number of results of bounded linear operators in Banach spaces are extended to…
Additive Property of Drazin Invertibility of Elements
Long Wang, Huihui Zhu, Xia Zhu +1
In this article, we investigate additive properties of the Drazin inverse of elements in rings and algebras over an arbitrary field. Under the weakly commutative condition of $ab =…
Drazin Invertibility of Product and Difference of Idempotents in a Ring
Jianlong Chen, Huihui Zhu
In this paper, several equivalent conditions on the Drazin invertibility of product and difference of idempotents are obtained in a ring. Some results in Banach algebra are extende…