Browsing by Author "Supervisor: TALLAB, Abdelhamid"

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    On gap between closed operators
    (University of M'sila, 2023-06-10) BELHOUT, Sami; Supervisor: TALLAB, Abdelhamid; Co-Supervisor: MAZOUZ, Ahmed
    The goal of this memory is to introduce the notion between two closed operators on Banach spaces. In this memory we present the concept of gap between two closed operators on Banach spaces introduced by Kato and give its proprieties, He proved that if T and S are two closed linear operators from X into Y , the "distance" between T and S will be measured in terms of the "gap" between the linear subspaces (graphs of S and T) G(T) and G(S) of the product normed space X × Y .
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    On n-Bounded and n-Continuous Operators in n-Normed space
    (University of Mohamed Boudiaf, M’sila, 2024-06) KECHIDA, Marwa; Supervisor: TALLAB, Abdelhamid; Co-supervisor: MAZOUZ, Ahmed
    This memory deals with the concepts of bounded(n-bounded) and continuous(n-continuous) n-linear operators in n-normed spaces introduced by. Also, we study the properties of the corresponding spaces of operators to obtain results analogous to the case of normed space, also we have studied other notions of continuity of these operators.