Perturbation for the Group Inverse in a Banach Algebra
We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei. We then apply them to establish the representation of the group inverse of a+b under a kind of commutative perturbation condition. Finally, some numerical examples are given to demonstrate the main results.
Authors
- Handan Köse (ORCID: https://orcid.org/0000-0002-0741-6848)
- Huanyin Chen (ORCID: https://orcid.org/0000-0001-8184-1327)
- Dayong Liu (ORCID: https://orcid.org/0000-0002-2487-6184)
- Tugce Pekacar Calci (ORCID: https://orcid.org/0000-0003-0950-008X)
Institutions
- Central South University of Forestry and Technology (CN)
- Central South University (CN)
- Ankara University (TR)
- Fuzhou University (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-08-11
- DOI
- https://doi.org/10.3390/axioms14080628
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00