Riesz spaces of signed charges on semi-rings
Functional Analysis
2024-11-27 v2 Classical Analysis and ODEs
Abstract
A constructive definition of the supremum of a family of set functions is exploited in the context of Riesz spaces of signed measures and finitely additive functions (signed charges) on semi-rings. We explore applications, particularly to establish a Jordan decomposition for signed charges on semi-rings, whether the structure of Riesz space is present or not.
Keywords
Cite
@article{arxiv.2308.10914,
title = {Riesz spaces of signed charges on semi-rings},
author = {Santiago Cambronero and David Campos and C. A. Fonseca-Mora and Darío Mena},
journal= {arXiv preprint arXiv:2308.10914},
year = {2024}
}