Department of Mathematics

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Browsing Department of Mathematics by Subject "(Linear operator, Gap, Graph.)"

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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 .