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- Title
New results on perturbations of p-adic linear operators.
- Authors
Ammar, Aymen; Boutaf, Fatima Zohra; Jeribi, Aref
- Abstract
In this research paper, we develop some aspects of the theory of Fredholm linear operators acting in p-adic (or non-Archimedean) Banach spaces. In this regard, we establish sufficient conditions for the p-adic Fredholmness of the algebraic sum of unbounded linear operators. Next, we study the perturbation of p-adic upper semi-Fredholm operators under strictly singular operators. Moreover, we give some results concerning quasi-compact and p-adic lower semi-Fredholm operators.
- Subjects
FREDHOLM operators; BANACH spaces; LINEAR operators; COMPACT operators
- Publication
Georgian Mathematical Journal, 2023, Vol 30, Issue 2, p173
- ISSN
1072-947X
- Publication type
Article
- DOI
10.1515/gmj-2022-2207