Perturbation for group inverse in a Banach algebra

Dayong Liu; Tugce Pekacar Calci; Handan Kose; Huanyin Chen

Perturbation for group inverse in a Banach algebra

Rings and Algebras 2021-08-24 v1

Authors: Dayong Liu , Tugce Pekacar Calci , Handan Kose , Huanyin Chen

Abstract

We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of $\|(a+b)^{\#}-a^d\|$ is thereby given. These extend the main results in [X. Liu, Y. Qin and H. Wei, Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra, Abstr. Appl. Anal., 2012, 22 pages. DOI:10.1155/2012/629178].

Keywords

banach algebra group inverse perturbation additive result upper bound generalized schur complement

Cite

@article{arxiv.2108.09920,
  title  = {Perturbation for group inverse in a Banach algebra},
  author = {Dayong Liu and Tugce Pekacar Calci and Handan Kose and Huanyin Chen},
  journal= {arXiv preprint arXiv:2108.09920},
  year   = {2021}
}

Comments

17 pages

Perturbation for group inverse in a Banach algebra

Abstract

Keywords

Cite

Comments

Related papers