Pervasive and weakly pervasive pre-Riesz spaces
Functional Analysis
2018-11-09 v2
Abstract
Pervasive pre-Riesz spaces are defined by means of vector lattice covers. To avoid the computation of a vector lattice cover, we give two distinct intrinsic characterizations of pervasive pre-Riesz spaces. We introduce weakly pervasive pre-Riesz spaces and observe that this property can be easily checked in examples. We relate weakly pervasive pre-Riesz spaces to pre-Riesz spaces with the Riesz decomposition property.
Cite
@article{arxiv.1803.07454,
title = {Pervasive and weakly pervasive pre-Riesz spaces},
author = {Anke Kalauch and Helena Malinowski},
journal= {arXiv preprint arXiv:1803.07454},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1801.07191