Relationship between T and u in ∇T for other types of summability
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Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of Msila, Faculty of Mathematics and Computer Sciences, Department of Mathematics
Abstract
In 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.
Description
Keywords
Banach lattice, Lipschitz p-dominated operator, Lipschitz p-summing operator, p-summing operator, subl