Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 40
Factorization theorem of positive p-nuclear operators
Amar Bougoutaia, Amar Belacel
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 19, 2021
March 03, 2049
April 15, 2049

Abstract: In this talk, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class for the proof we use the full general Pietsch Domination Theorem recently presented by Pellegrino et al. and we see that for every multilinear positive operator T there is an unique positive linear operator TL , in the main result of this talk we justify the introduction of positive Cohen p-nuclear m-linear operators as it establishes a direct connection with their linearization. Moreover, ...