Relationship between T and ∇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
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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, su