Marginality and Triangle Inequality

In this paper we study conditions for the existence of a 3-dimensional s-map on a quantum logic under assumption that marginal s-maps are known. We show that the existence of such a 3-dimensional s-map depends on the triangle inequality of d-map, which on a Boolean algebra represents a measure of sy...

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Bibliographic Details
Published in:International journal of theoretical physics 2010-12, Vol.49 (12), p.3199-3208
Main Authors: Nánásiová, O l̆ga, Valášková, L̆ubica
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:In this paper we study conditions for the existence of a 3-dimensional s-map on a quantum logic under assumption that marginal s-maps are known. We show that the existence of such a 3-dimensional s-map depends on the triangle inequality of d-map, which on a Boolean algebra represents a measure of symmetric difference.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-010-0414-2