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arXiv · 2308.10914

Riesz spaces of signed charges on semi-rings

Santiago Cambronero·David Campos·C. A. Fonseca-Mora·Darío Mena
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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.

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Santiago Cambronero, David Campos, C. A. Fonseca-Mora, Darío Mena. 2023-08-20. Riesz spaces of signed charges on semi-rings. https://arxiv.org/abs/2308.10914

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