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Title: On Kalmbach measurability (English)
Author: d'Andrea, A. B.
Author: de Lucia, P.
Author: Wright, J. D. Maitland
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 39
Issue: 6
Year: 1994
Pages: 445-447
Summary lang: English
Category: math
Summary: In this note we show that, for an arbitrary orthomodular lattice $L$, when $\mu $ is a faithful, finite-valued outer measure on $L$, then the Kalmbach measurable elements of $L$ form a Boolean subalgebra of the centre of $L$. (English)
Keyword: Kalmbach measurability
Keyword: Boolean algebra
Keyword: orthomodular lattice
MSC: 06C15
MSC: 28A60
idZBL: Zbl 0815.28004
idMR: MR1298732
DOI: 10.21136/AM.1994.134270
Date available: 2009-09-22T17:45:39Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] E. Beltrametti, G. Cassinelli: The logic of quantum mechanics.Addison Wesley, Reading MA, 1981. MR 0635780
Reference: [2] L. Beran: Orthomodular Lattices.Algebraic approach, Academia, Prague and Reidel, Dordrecht, 1984. MR 0785005
Reference: [3] S. Gudder: Stochastic methods in quantum mechanics.North-Holland, Amsterdam, 1979. Zbl 0439.46047, MR 0543489
Reference: [4] G. Kalmbach: Orthomodular lattices.Academic Press, London, 1983. Zbl 0528.06012, MR 0716496
Reference: [5] G. Kalmbach: Quantum measure spaces.Foundations of Phys. 20 (1990), 801–821. MR 1067216, 10.1007/BF01889692
Reference: [6] P. Pták, S. Pulmannova: Orthomodular structures as quantum logics.Kluwer, Dordrecht, 1991. MR 1176314
Reference: [7] V. S. Varadarajan: Geometry of quantum theory.Springer-Verlag, Berlin, 1985. Zbl 0581.46061, MR 0805158


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