Equivalence between limit theorems for lattice group-valued k-triangular set functions
Functional Analysis
2021-01-18 v1
Abstract
We investigate some main properties of lattice group-valued k-triangular set functions and prove some Brooks-Jewett, Nikodym, Vitali-Hahn-Saks and Schur-type theorems and their equivalence. A Drewnowski-type theorem on existence of continuous restrictions of (s)-bounded set functions is given.
Cite
@article{arxiv.2101.06118,
title = {Equivalence between limit theorems for lattice group-valued k-triangular set functions},
author = {Antonio Boccuto and Xenofon Dimitriou},
journal= {arXiv preprint arXiv:2101.06118},
year = {2021}
}