Ouadah, ChouroukMezrag, Lahcen: SupervisorTalleb, Abdelhamid: Co-Supervisor.2024-07-032024-07-032024-06https://dspace.univ-msila.dz/handle/123456789/43145In this memory, we introduce and study the notions of summability in the sublinear case. We prove some characterizations in terms of a domination theorem and some properties of this notions.we are interested in studying the relationship between T and its subdifferential ∇T (the set of all bounded linear operators u : X −→ Y such that u(x) ≤ T(x) for all x in X) ; concerning certain notions of Lipschitz summability.enBanach latticeLipschitz p-dominated operatorLipschitz p-summing operatorp-summing operatorsublThesis