4 citations · 13 across the 8 of their papers we have counts for
8 papers
Generalized core inverses of matrices
Sanzhang Xu, Jianlong Chen, Julio Benítez +1
In this paper, we introduce two new generalized inverses of matrices, namely, the -core inverse and the $\pare{j}{m}$-core inverse. The -core inverse of a c…
Existence criteria and expressions of the (b,c)-inverse in rings and its applications
Sanzhang Xu, Julio Benitez
Existence criteria for the -inverse are given.% in terms of annihilators. We present explicit expressions for the -inverse by using inner inverses. We answer the ques…
On the continuity and differentiability of the (dual) core inverse in C*-algebras
Julio Benítez, Enrico Boasso, Sanzhang Xu
The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras. Later, this study is specialized to the case of bounded Hilbert space operato…
Core and Dual Core Inverses of a Sum of Morphisms
Tingting Li, Jianlong Chen, Sanzhang Xu
Let be an additive category with an involution . Suppose that is a morphism of with core inverse $φ^{\co} : X \rightarrow X$…
EP elements in rings with involution
Sanzhang Xu, Jianlong Chen, Julio Benitez
Let be a unital ring with involution. We first show that the EP elements in can be characterized by three equations. Namely, let , then is EP if and only if the…
The Moore-Penrose inverse in rings with involution
Sanzhang Xu, Jianlong Chen
Let be a unital ring with involution.In this paper, several new necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring a…
Core partial order in rings with involution
Xiaoxiang Zhang, Sanzhang Xu, Jianlong Chen
Let be a unital ring with involution. We give several characterizations and properties of core partial order in . In particular, we investigate the reverse order law $(ab)^{…
New characterizations for core inverses in rings with involution
Sanzhang Xu, Jianlong Chen, Xiaoxiang Zhang
The core inverse for a complex matrix was introduced by Baksalary and Trenkler. Rakić, Dinčić and Djordjević generalized the core inverse of a complex matrix to the case of an elem…