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arXiv · 2012.09396

Bounded orthomorphisms between locally solid vector lattices

Raheleh Sabbagh·Omid Zabeti
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Abstract

The main aim of the present note is to consider bounded orthomorphisms between locally solid vector lattices. We establish a version of the remarkable Zannen theorem regarding equivalence between orthomomorphisms and the underlying vector lattice to the case of all bounded orthomomorphisms. Furthermore, we investigate topological and ordered structures for these classes of orthomorphisms, as well.

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Raheleh Sabbagh, Omid Zabeti. 2020-12-17. Bounded orthomorphisms between locally solid vector lattices. https://arxiv.org/abs/2012.09396

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