Showing math.FAShow all
3 papers · 1 filter
math.FA2018
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…
math.FA2012
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…
math.FA2011
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…