Some Drazin invertible elements in Banach algebras and applications to operator equations solutions

Authors

  • Ahfouda Belhadi Badji Mokhtar University-Annaba - Mathematics Department
  • Abdelouahab Mansour Eloued University - Operator Theory Laboratory (LABTHOP)
  • Abdelouahab Salmi Badji Mokhtar University-Annaba - Mathematics Department

Keywords:

generalized Drazin inverse, idempotent operator, consistent equation

Abstract

In this paper, some conditions of Drazin invertibility of operators has been established as well as some results for operations on Drazin invertible operators leading to the solvability of some operator equations in Banch algebras.

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Published

2019-07-30

How to Cite

Belhadi, A., Mansour, A., & Salmi, A. (2019). Some Drazin invertible elements in Banach algebras and applications to operator equations solutions. Italian Journal of Pure and Applied Mathematics, 42, 428–435. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7224

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Section

Articoli - Forum Editrice

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