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Positive linear relation and application to domination problem.
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-12-17
Mohamed Ayadi, Hamadi Baklouti

ABSTRACT

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.



中文翻译:

正线性关系及其在控制问题中的应用。

摘要

在本说明中,我们证明了在各处定义的Riesz空间上的正多值算子始终是连续的。此外,我们证明具有相同零部分的两个正关系之和本身就是正的。这一结果使我们能够研究正关系类中的统治问题。

更新日期:2020-12-17
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