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
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topAndrea, 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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- 10.1007/BF01889692, Foundations of Phys. 20 (1990), 801–821. (1990) MR1067216DOI10.1007/BF01889692
- Orthomodular structures as quantum logics, Kluwer, Dordrecht, 1991. (1991) MR1176314
- Geometry of quantum theory, Springer-Verlag, Berlin, 1985. (1985) Zbl0581.46061MR0805158
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