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math.SP2026
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.…
math.SP2025
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…