A Yosida-Hewitt like theorem for \(\perp\)-decomposable measures
type: Item
instance of: scholarly article
title: A Yosida-Hewitt like theorem for \(\perp\)-decomposable measures
zbMATH Open document ID: 0703.28011
published in: Ricerche di Matematica
publication date: 1988-01-01T00:00:00Z
review text: \(\perp\)-decomposable measures, that is set-functions decomposable w.r. to a semigroup operation \(\perp\) on a real interval, were introduced by \textit{D. Dubois} and \textit{H. Prade} [Int. J. Gen. Syst. 8, 43-61 (1982; Zbl 0473.94023)] and \textit{S. Weber} [J. Math. Anal. Appl. 101, 114-138 (1984; Zbl 0614.28019)]. In this paper the authors dealt with the problem of restating the Yosida-Hewitt theorem in this larger framework, by splitting these measures in the maximal \(\sigma\)-\(\perp\)-decomposable part and in the pure \(\perp\)-decomposable part. To this purpose a direct construction is given that an actual generalization of Yosida-Hewitt theorem exhibits. Other propositions contained in the paper concern the lattice structure of classes of decomposable measures.
Mathematics Subject Classification ID: 28E10
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 4152768
zbMATH Keywords: decomposable measures
zbMATH Keywords: semigroup operation
zbMATH Keywords: Yosida-Hewitt theorem
zbMATH Keywords: lattice structure
author: Massimo Squillante
author: Aldo G. S. Ventre
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4152768