Browsing by Author "ZEGHAD, Bochra"

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    The notion of (p, r)-compactness
    (UNIVERSITE MOHAMED BOUDIAF - M’SILA FACULTE DES MATHEMATIQUES ET DE L’INFORMATIQUE, 2019) ZEGHAD, Bochra
    bstract In this work we will interest by the notion of relatively compact sets, we go on to study the space of ( p ,r )-compact operators and describe its structure as an operator ideal. We introduce the concept of Lipschitz ( p ,r )-compact operators. We show that can be seen as a natural extension of the linear case and we transfer some properties of the linear case into the Lipschitz setting.