English

A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses

Spectral Theory 2019-05-07 v1

Abstract

In this paper, we give a new characterization of generalized Browder's theorem by considering equality between the generalized Drazin-meromorphic Weyl spectrum and the generalized Drazin-meromorphic spectrum. Also, we generalize Cline's formula to the case of generalized Drazin-meromorphic invertibility under the assumption that AkBkAk=Ak+1A^kB^kA^k=A^{k+1} for some positive integer kk.

Keywords

Cite

@article{arxiv.1905.01599,
  title  = {A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses},
  author = {Anuradha Gupta and Ankit Kumar},
  journal= {arXiv preprint arXiv:1905.01599},
  year   = {2019}
}

Comments

12 pages