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arXiv · 2007.06128

A Johnson-Kist type representation for truncated vector lattices

Karim Boulabiar·Rawaa Hajji
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Abstract

We introduce the notion of (maximal) multi-truncations on a vector lattice as a generalization of the notion of truncations, an object of recent origin. We obtain a Johnson-Kist type representation of vector lattices with maximal multi-truncations as vector lattices of almost-finite extended-real continuous functions. The spectrum that allow such a representation is a particular set of prime ideals equipped with the hull-kernel topology. Various representations from the existing literature will appear as special cases of our general result.

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Karim Boulabiar, Rawaa Hajji. 2020-07-12. A Johnson-Kist type representation for truncated vector lattices. https://arxiv.org/abs/2007.06128

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