Representation theorem for convex effect algebras
Gudder, Stanley P. ; Pulmannová, Sylvia
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 645-659 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1998-01-01
Classification:  46A40,  46N50,  52A01,  81P10,  81R10,  82B03 
@article{119041,
     author = {Stanley P. Gudder and Sylvia Pulmannov\'a},
     title = {Representation theorem for convex effect algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {645-659},
     zbl = {1060.81504},
     mrnumber = {1715455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119041}
}

Gudder, Stanley P.; Pulmannová, Sylvia. Representation theorem for convex effect algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 645-659. http://gdmltest.u-ga.fr/item/119041/

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