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An orthomodular poset which does not admit a normed orthovaluation

Published online by Cambridge University Press:  17 April 2009

Peter D. Meyer  and
P.D. Finch
Peter D. Meyer
Affiliation:
Monash University, Clayton, Victoria.
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Abstract

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It is of relevance to studies in the logic of quantum mechanics whether or not every separable completely orthomodular poset admits a normed σ-ortho-valuation. A finite orthomodular poset is constructed which is a counter-example to this proposition.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 2 , October 1970 , pp. 163 - 170
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Finch, P.D., “On the structure of quantum logic”, J. Symbolic Logic 34 (1969), 275–282.CrossRefGoogle Scholar
[2]Finch, P.D., “Quantum mechanical physical quantities as random variables”, Nanta Math. (to appear).Google Scholar