English

Additive properties of G-Drazin inverse of linear operators

Rings and Algebras 2019-05-28 v1

Abstract

In this paper, we investigate additive properties of generalized Drazin inverse for linear operators in Banach spaces. Under new polynomial conditions on generalized Drazin invertible operators a and b, we prove their sum has generalized Drazin inverse and give explicit representations of the generalized inverse (a+b)d(a+b)^d.

Keywords

Cite

@article{arxiv.1905.11095,
  title  = {Additive properties of G-Drazin inverse of linear operators},
  author = {Huanyin Chen and Marjan Sheibani},
  journal= {arXiv preprint arXiv:1905.11095},
  year   = {2019}
}