Weakly tight functions, their Jordan type decomposition and total variation in effect algebras
type: Item
instance of: scholarly article
title: Weakly tight functions, their Jordan type decomposition and total variation in effect algebras
zbMATH Open document ID: 1143.03033
author: Mona Khare
author: Akhilesh Kumar Singh
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-05-28T00:00:00Z
review text: The authors introduce and study the notion of a weakly tight function on an effect algebra and present a Jordan-type decomposition theorem for locally bounded real-valued weakly tight functions. Further, they study total variation and \(m\)-atoms for a function \(m\) on a sub-effect algebra and prove that a real-valued additive function defined on a sub-effect algebra is non-atomic iff its total variation is non-atomic.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 5279812
zbMATH Keywords: effect algebra
zbMATH Keywords: weakly tight function
zbMATH Keywords: m-atom
zbMATH Keywords: total variation
zbMATH Keywords: Jordan-type decomposition
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.03.017
OpenAlex ID: W2076507730
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DOI: 10.1016/J.JMAA.2008.03.017
description: scientific article; zbMATH DE number 5279812