An orthomodular poset which does not admit a normed orthovaluation

Open Access

1 August 1970

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 3 (2) , 163-170
https://doi.org/10.1017/s0004972700045822

Abstract

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.

Keywords

ORTHOMODULAR POSET
POSET ADMITS
PROPOSITION
FINITE
ORTHOVALUATION

This publication has 1 reference indexed in Scilit:

On the structure of quantum logic
The Journal of Symbolic Logic, 1969