[PDF][PDF] Characterization of generalized essential spectra of 2× 2 operator matrices via weakly demicompact operators

M Beghdadi, B Krichen - Filomat, 2024 - pmf.ni.ac.rs
In this paper, we focus on the relationship between upper generalized semi-Fredholm and
weakly demicompact operators acting on Banach spaces and we use this relation to extend …

Spectral properties involving generalized weakly demicompact operators

I Ferjani, A Jeribi, B Krichen - Mediterranean Journal of Mathematics, 2019 - Springer
In this paper, we investigate the concept of generalized weakly demicompact operators with
respect to weakly closed densely defined linear operators. We give their relationship with …

[PDF][PDF] Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum

A Jeribi, B Krichen, M Salhi - Filomat, 2022 - doiserbia.nb.rs
In this paper, we show that an unbounded weakly S0-demicompact linear operator T,
introduced in [18], acting on a Banach space, can be characterized by some measures of …

[PDF][PDF] Demicompactness, selection of linear relation and application to multivalued matrix

A Ammar, A Jeribi, B Saadaoui - Filomat, 2022 - doiserbia.nb.rs
In this paper, we investigate the concept of demicompactness and we establish some new
results in Fredholm theory connected with the existence of selections of a given linear …

Spectral properties for generalized weakly S-demicompact operators

I Ferjani, A Jeribi, B Krichen - Linear and Multilinear Algebra, 2022 - Taylor & Francis
In this paper, we introduce the concept of generalized weakly S-demicompact operators with
respect to a weakly closed linear operator S. We study the general setting of Fredholm …

Demicompactness perturbation in Banach algebras and some stability results

S Chelly, A Jeribi, B Krichen - Georgian Mathematical Journal, 2023 - degruyter.com
In this paper, we introduce and investigate a new concept that we call demicompact
elements in Banach algebras as a generalization of demicompact linear operators acting on …

Stability of relative essential spectra of the transport operator in -space by means of measures of noncompactness and relative weak demicompactness

S Chelly, A Jeribi, B Krichen - Monatshefte für Mathematik, 2022 - Springer
The paper is devoted to some new sufficient conditions to ensure the upper-Fredholmness
and Fredholmness of an unbounded densely defined linear operator T acting on a Banach …

Relative -pseudo weak demicompactness and measures of weak noncompactness

I Chtourou, B Krichen - Annals of Functional Analysis, 2021 - Springer
In this paper, our central focus is upon a class of linear operators acting on a Banach space
X called relatively pseudo weakly demicompact operators. We clarify and determine the …

Some spectral results for demicompact operators and their restrictions with an application to transport equations

B Krichen, B Trabelsi - Ricerche di Matematica, 2024 - Springer
In this paper, we investigate the S 0 n-demicompactness of the restriction T n of a bounded
or unbounded linear operator T to R (T n), where S 0 n is the restriction of a given bounded …

Demicompactness Properties for Uniformly Continuous Cosine Families

H Benkhaled, A Elleuch, A Jeribi - Mediterranean Journal of Mathematics, 2022 - Springer
In this paper, we establish some properties for a uniformly continuous cosine family (C (t))
t∈ R which has the property that C (t) is demicompact for some (resp. every) t> 0. More …