Work

New Results of Essential Approximate and Defect Point Spectrum by Using the Gap Convergence

Year: 2024

Type: article

Abstract: 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.

Source: Facta Universitatis Series Mathematics and Informatics

DOI: 10.22190/fumi180409036a

Authors: Aymen Ammar, Toufik Heraiz, Aref Jeribi

Institutions: University of Sfax, Faculty of Sciences of Sfax, University Mohamed Boudiaf of M'sila, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4406779280

FWCI:

Cites:

Cited by:

Related to: 10