Browsing by Author "NEDJAI, Basma"

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    On some phi-summing operators
    (Faculty of Mathematics and computer sciences Department of Mathematics - Option : Functional analysis, 2020) NEDJAI, Basma
    The context of this memory falls within the framework of functional analysis and more precisely in nonlinear geometry. The notions of this work were inspired from the article of J.D. Farmer and W.B. Jonhnson entitled "Lipschitz p-summing operators" and from the paper of R. Khalil and W. Deeb entitled " φ-summing operators in Banach spaces", also that of M. Belaala entitled "Lipschitz φ-summing operators". In this memory, we will study the Lipschitz φ-summing operators. we have introduced the notion of linear φ-summing operator and Lipschitz φ-summing operator between metric spaces by giving a nonlinear version of Pietsch domination theorem for these operators and some properties concerning this class, and the end of this work, we presented the notion of multilinear φ-summing operators and giving a multilinear version of Pietsch domination theorem.