Regularity and $\sigma$-additivity of states on quantum logics
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- by Mirko Navara PDF
- Proc. Amer. Math. Soc. 115 (1992), 427-429 Request permission
Abstract:
In 1977, Béaver and Cook [1] introduced the notion of regularity of states on quantum logics. They presented a generalization of Alexandroff theorem: each regular finitely additive state on a quantum logic is countably additive. Recently, Dvurečenskij, Neubrunn, and Pulmannová [2] observed an incorrectness in the original proof and doubted thus the validity of the result. We construct here a counterexample.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 427-429
- MSC: Primary 03G12; Secondary 81P10
- DOI: https://doi.org/10.1090/S0002-9939-1992-1079705-3
- MathSciNet review: 1079705