Investigating the Extended Spectrum: Operator Group Inverse and Drazin Inverse
A. This paper investigates the relationship between the extended spectrum of a bounded linear operator and its group inverse.We also establish a connection between the extended spectrum of the bounded linear operator and that of its Drazin inverse.As part of our analysis, we prove the following equality:where (BA) D and (AB) D represent the Drazin inverses of BA and AB, respectively.
Authors
- Abdelaziz Mennouni (ORCID: https://orcid.org/0000-0002-0791-5866)
- Antar Bouyelli
Institutions
- University of Batna 1 (DZ)
Publication Details
- Journal
- Asia Pacific Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.28924/apjm/12-85
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00