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arxiv: 1610.02160 · v3 · pith:X7DVCNJZnew · submitted 2016-10-07 · 🧮 math.FA

States on sharply dominating effect algebras

classification 🧮 math.FA
keywords algebraseffectdominatingprovesharplyapplicationarchimedeanatomic
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We prove that Archimedean sharply dominating atomic lattice effect algebras can be characterized by property called basic decomposition of elements. As an application we prove the state smearing theorem for these effect algebras.

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