Author： Mansour Mohamed Ait
Publisher： Springer Publishing Company
ISSN： 1385-1292
Source： Positivity, Vol.11, Iss.1, 2007-02, pp. : 155-169
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Abstract
The aim of this paper is to investigate partially ordered real linear topological spaces in which directed sets admit a supremum in their closure. In particular, we point out that this property is intimately related to the normality of the ordering cone and also to the Scott continuity of functionals belonging to the nonnegative polar of the ordering cone.
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