1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.RA2017
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…
math.RA2017★ 1 cited
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…
math.OA2017★ 1 cited
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…