2 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Weyl's Theorem for Bounded Self-Adjoint Operators
Hatem Baloudi, Mohamed Ali Dbeibia, Kamel Mahfoudhi
Let be a bounded self-adjoint operator on a separable infinite-dimensional right quaternionic Hilbert space, and let $\sigdS(T)$ be the set of right eigenvalues of finite type.…
Fractional powers of 3*3 block operators matrices: Application to PDES
Hatem Baloudi, Mohamed Ali Dbeibia, Aref Jeribi
In this paper, we investigate the fractional powers of block operator matrices, with a particular focus on their applications to partial differential equations (PDEs). We develop a…
Browder S-resolvent equation in quaternionic setting
H. Baloudi, A. Jeribi, H. Zmouli
This paper is devoted to the study of the S-eigenvalue of finite type of a bounded right quaternionic linear operator acting in a right quaternionic Hilbert space. The study is bas…
Riesz projection and essential -spectrum in quaternionic setting
Hatem Baloudi, Sayda Belgacem, Aref Jeribi
This paper is devoted to the investigation of the Weyl and the essential spectrum of a bounded right quaternionic linear operator in a right quaternionic Hilbert space. Using t…
The adjacency matrix and the discrete Laplacian acting on forms
Hatem Baloudi, Sylvain Golenia, Aref Jeribi
We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not nece…