NEW RESULTS OF ESSENTIAL APPROXIMATE AND DEFECT POINT SPECTRUM BY USING THE GAP CONVERGENCE
This paper focuses on exploring the relationship between the essential approximate point spectrum (and the essential defect spectrum) of a sequence of closedlinear operators (Tn)n2N acting on a Banach space X, and the corresponding spectraof a linear operator T on X. We examine this relationship under both generalizedconvergence and compact convergence conditions for the sequence (Tn)n2N convergingto T.
Authors
- Aref Jeribi (ORCID: https://orcid.org/0000-0001-6715-5996)
- Aymen Ammar (ORCID: https://orcid.org/0000-0001-6728-3728)
- Toufik Heraiz
Institutions
- University of Sfax (TN)
- Imam Mohammad ibn Saud Islamic University (SA)
- University Mohamed Boudiaf of M'sila (DZ)
Publication Details
- Journal
- Facta Universitatis Series Mathematics and Informatics
- Published
- 2024-12-13
- DOI
- https://doi.org/10.22190/fumi180409036a
- Primary Topic
- Advanced Measurement and Metrology Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00