4 papers
Anti-commuting Solutions of the Yang-Baxter-like Matrix Equation
Mohammed Ahmed Adam Abdalrahman, Huijian Zhu, Jiu Ding +1
We solve the Yang-Baxter-like matrix equation for a general given matrix to get all anti-commuting solutions, by using the Jordan canonical form of and applying…
On the perturbation and expression for the core inverse of linear operator in Hilbert space
Qianglian Huang, Saijie Chen, Lanping Zhu
In this note, we provide some sufficient and necessary conditions for the core inverse of the perturbed operator to have the simplest possible expression. The results improve the r…
Relationship between the Hyers-Ulam stability and the Moore-Penrose inverse
Qianglian Huang, Mohammad Sal Moslehian
In this paper, we establish a link between the Hyers-Ulam stability and the Moore--Penrose inverse, that is, a closed operator has the Hyers-Ulam stability if and only if it has a…
On the generalized resolvent of linear pencils in Banach spaces
Qianglian Huang, Shuangyun Gao
Utilizing the stability characterizations of generalized inverses of linear operator, we investigate the existence of generalized resolvents of linear pencils in Banach spaces. Som…