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arxiv: 1407.5968 · v1 · pith:X56WTYALnew · submitted 2014-07-22 · 🧮 math-ph · math.MP

Regular Gleason Measures and Generalized Effect Algebras

classification 🧮 math-ph math.MP
keywords measuresadditivealgebraseffectgeneralizedregularattainclasses
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We study measures, finitely additive measures, regular measures, and $\sigma$-additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras.

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