Bounded orthomorphisms between locally solid vector lattices
Functional Analysis
2020-12-18 v1
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.
Cite
@article{arxiv.2012.09396,
title = {Bounded orthomorphisms between locally solid vector lattices},
author = {Raheleh Sabbagh and Omid Zabeti},
journal= {arXiv preprint arXiv:2012.09396},
year = {2020}
}
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9 Pages