A Johnson-Kist type representation for truncated vector lattices
Functional Analysis
2020-07-24 v2
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.
Keywords
Cite
@article{arxiv.2007.06128,
title = {A Johnson-Kist type representation for truncated vector lattices},
author = {Karim Boulabiar and Rawaa Hajji},
journal= {arXiv preprint arXiv:2007.06128},
year = {2020}
}