2020/07/12 by Boulabiar, Karim, Hajji, Rawaa
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2007.06128
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.