Browsing by Author "Yahi, Rachid: Supervisor"

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    Some classes of p-summing type operators
    (Mohamed Boudiaf university of Msila, Faculty of Mathematics and computer sciences, Department of Mathematics, 2024-06) Benaissi, Chahinaz; Yahi, Rachid: Supervisor
    This work based on the article of O. Blasco and T. Signes, where the o authors introduced and studied the classes of bounded linear operators Φ : L (X,Y) → L (Z, W) such that (Tn) → (Φ (Tn)) maps l s p (X,Y) into lp (Z, W), l s p (X,Y) into l s p (Z, W) and l w p (X,Y) into l s p (Z, W). The Pietsch-type dominations of (l s p , lp)-summing linear operators wich presented nowadays by José Rodríguez and Enrique A. Sánchez-Pérez is also given .
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    The Kp,q-Compactness and Kp,q-Null Sequences
    (Mohamed Boudiaf university of Msila, Faculty of Mathematics and computer sciences, Department of Mathematics, 2024-06) Bouziane, Fairouz; Yahi, Rachid: Supervisor
    In this memory, we deal with one of the most important topics in functional analysis, namely some classes of compact sets and operators, we endeavored, with modest effort, to identify the most important definitions, theorems, and properties throughout all chapters of this research. In the first chapter, we review the key concepts related to compact sets and compact operators. The second chapter deals with some results related to relatively Kp,q-compact sets and finally we present some results for Kp,q-null sequence.