Document Type
Article
Publication Date
1-1-2021
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
Let X be a Banach space and let T: X →X be a bounded linear operator with closed range. We study a class of commuting perturbations of the corresponding operator equation, using the concept of the spectral radius of a bounded linear operator. Our results extend the classic perturbation theorem for invertible operators and its generalization for arbitrary operators under the commutability assumption.
Publication Title
Journal of Applied Analysis and Computation
Volume
11
Issue
4
First Page
1691
Last Page
1698
Recommended Citation
Xu, X.,
Ding, J.
(2021). Commuting Perturbations of Operator Equations. Journal of Applied Analysis and Computation, 11(4), 1691-1698.
Available at: https://aquila.usm.edu/fac_pubs/19276