On the perturbation and expression for the core inverse of linear operator in Hilbert space
Functional Analysis
2018-07-05 v1
Abstract
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 recent work by H. Ma (Optimal perturbation bounds for the core inverse, Appl. Math. Comput. 336 (2018) 176-181.).
Keywords
Cite
@article{arxiv.1807.01446,
title = {On the perturbation and expression for the core inverse of linear operator in Hilbert space},
author = {Qianglian Huang and Saijie Chen and Lanping Zhu},
journal= {arXiv preprint arXiv:1807.01446},
year = {2018}
}