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Positive linear relation and application to domination problem
Journal article   Peer reviewed

Positive linear relation and application to domination problem

Mohamed Ayadi and Hamadi Baklouti
Linear & multilinear algebra, Vol.70(19), pp.3780-3789
16/12/2022
DOI: https://doi.org/10.1080/03081087.2020.1854166

Abstract

Mathematics Physical Sciences Science & Technology
In this note we prove that positive multi-valued operators on Riesz spaces which are everywhere defined are always continuous. Further, we prove that the sum of two positive relations having the same null part is itself positive. This result allows us to study the domination problem in the class of positive relations.

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