2 papers
math.FA2020
A Johnson-Kist type representation for truncated vector lattices
Karim Boulabiar, Rawaa Hajji
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 ty…
math.FA2019
Representation of strongly truncated Riesz spaces
Karim Boulabiar, Rawaa Hajji
Following a recent idea by Ball, we introduce the notion of strongly truncated Riesz space with a suitable spectrum. We prove that, under an extra Archimedean type condition, any s…