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- Title
Index for generalized Fredholm operators and generalized perturbation theory.
- Authors
Aydi, Rabeb; Ferjani, Imen; Krichen, Bilel
- Abstract
In this paper, we develop some generalized Fredholm perturbation results for bounded linear operators acting on non-reflexive Banach spaces satisfying certain conditions. Furthermore, we investigate the stability of the generalized Schechter S-essential spectrum by means of the so-called generalized Fredholm index. This concept is introduced as a semigroup homomorphism satisfying certain properties. Some generalized Fredholm results for block operator matrices acting on a non-reflexive product of two Banach spaces are also developed.
- Subjects
FREDHOLM operators; PERTURBATION theory; BANACH spaces; LINEAR operators
- Publication
Georgian Mathematical Journal, 2023, Vol 30, Issue 4, p493
- ISSN
1072-947X
- Publication type
Article
- DOI
10.1515/gmj-2023-2021