On Kalmbach measurability

A. B. d' Andrea; P. de Lucia; John David Maitland Wright

Applications of Mathematics (1994)

  • Volume: 39, Issue: 6, page 445-447
  • ISSN: 0862-7940

Abstract

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In this note we show that, for an arbitrary orthomodular lattice L , when μ 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 .

How to cite

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Andrea, A. B. d', Lucia, P. de, and Wright, John David Maitland. "On Kalmbach measurability." Applications of Mathematics 39.6 (1994): 445-447. <http://eudml.org/doc/32896>.

@article{Andrea1994,
abstract = {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 $L$.},
author = {Andrea, A. B. d', Lucia, P. de, Wright, John David Maitland},
journal = {Applications of Mathematics},
keywords = {Kalmbach measurability; Boolean algebra; orthomodular lattice; Kalmbach measurability; Boolean algebra; orthomodular lattice; outer measure},
language = {eng},
number = {6},
pages = {445-447},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Kalmbach measurability},
url = {http://eudml.org/doc/32896},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Andrea, A. B. d'
AU - Lucia, P. de
AU - Wright, John David Maitland
TI - On Kalmbach measurability
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 6
SP - 445
EP - 447
AB - 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 $L$.
LA - eng
KW - Kalmbach measurability; Boolean algebra; orthomodular lattice; Kalmbach measurability; Boolean algebra; orthomodular lattice; outer measure
UR - http://eudml.org/doc/32896
ER -

References

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  1. The logic of quantum mechanics, Addison Wesley, Reading MA, 1981. (1981) MR0635780
  2. Orthomodular Lattices, Algebraic approach, Academia, Prague and Reidel, Dordrecht, 1984. (1984) MR0785005
  3. Stochastic methods in quantum mechanics, North-Holland, Amsterdam, 1979. (1979) Zbl0439.46047MR0543489
  4. Orthomodular lattices, Academic Press, London, 1983. (1983) Zbl0528.06012MR0716496
  5. 10.1007/BF01889692, Foundations of Phys. 20 (1990), 801–821. (1990) MR1067216DOI10.1007/BF01889692
  6. Orthomodular structures as quantum logics, Kluwer, Dordrecht, 1991. (1991) MR1176314
  7. Geometry of quantum theory, Springer-Verlag, Berlin, 1985. (1985) Zbl0581.46061MR0805158

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