Geodesic
Representation theorem for convex effect algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 645-659.

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Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Classification : 46A40, 46N50, 52A01, 81P10, 81R10, 82B03
Keywords: effect algebras; convex structures; ordered linear spaces 
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     title = {Representation theorem for convex effect algebras},
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Gudder, S.; Pulmannová, S. Representation theorem for convex effect algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 645-659. http://geodesic.mathdoc.fr/item/CMUC_1998__39_4_a1/