Browsing by Author "Souheyb, Dehimi: Supervisor"

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    Unbounded linear operators having self-adjoint powers and some related results
    (Mohamed Boudiaf University of M'sila, 2024) Farid, Ailane; Faris, Boudjellal; Souheyb, Dehimi: Supervisor; Abdelhamid, Tallab: Co-Supervisor
    In this work, we study the powers of closed linear operators. We showed that If a closed operator T is quasinormal and its power Tn is normal with n≥2, then T must be normal. We also presented a generalization of a result related to J.von Neumann’s result. The nth roots of quasinormal operators also have been studied.
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    ItemOpen Access
    Unbounded linear operators having self-adjoint powers and some related results
    (Mohamed Boudiaf University of M'sila, 2024) Farid, Ailane; Faris, Boudjellal; Souheyb, Dehimi: Supervisor; Abdelhamid, Tallab: Co-Supervisor
    In this work, we study the powers of closed linear operators. We showed that If a closed operator T is quasinormal and its power Tn is normal with n≥2, then T must be normal. We also presented a generalization of a result related to J.von Neumann’s result. The nth roots of quasinormal operators also have been studied.