Lyapunov measures on effect algebras
Avallone, Anna ; Barbieri, Giuseppina
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 389-397 / Harvested from Czech Digital Mathematics Library
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We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.

Publié le : 2003-01-01
Classification:  06C15,  22B05 
@article{119396,
     author = {Anna Avallone and Giuseppina Barbieri},
     title = {Lyapunov measures on effect algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {389-397},
     zbl = {1097.22002},
     mrnumber = {2025808},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119396}
}

Avallone, Anna; Barbieri, Giuseppina. Lyapunov measures on effect algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 389-397. http://gdmltest.u-ga.fr/item/119396/

Avallone A. Lattice uniformities on orthomodular structures, Math. Slovaca 51 (2001), 4 403-419. (2001) | MR 1864109 | Zbl 1015.28014

Avallone A. Liapunov modular functions, submitted.

Avallone A. Separating points of measures on effect algebras, preprint. | MR 2357812 | Zbl 1150.28009

Avallone A.; Basile A. On a Marinacci uniqueness theorem for measures, J. Math. Anal. Appl., to appear. | Zbl 1052.28011

Barbieri G. Lyapunov's theorem for measures on D-posets, Internat. J. Theoret. Phys., to appear. | MR 2108298 | Zbl 1081.81007

Beltrametti E.G.; Cassinelli G. The Logic of Quantum Mechanics, Addison-Wesley Publishing Co., Reading, Mass., 1981. | MR 0635780 | Zbl 0595.03062

Bennett M.K.; Foulis D.J. Effect algebras and unsharp quantum logics. Special issue dedicated to Constantin Piron on the occasion of his sixtieth birthday, Found. Phys. 24 10 (1994), 1331-1352. (1994) | MR 1304942

Bennett M.K.; Foulis D.J. Phi-symmetric effect algebras, Found. Phys. 25 (1995), 12 1699-172. (1995) | MR 1377109

Butnariu D.; Klement P. Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Acad. Publ., 1993. | Zbl 0804.90145

Chovanec F.; Kopka F. D-posets, Math. Slovaca 44 (1994), 21-34. (1994) | MR 1290269 | Zbl 0789.03048

De Lucia P.; Wright J.D.M. Group valued measures with the Lyapunoff property, Rend. Circ. Mat. Palermo (2) 40 3 (1991), 442-452. (1991) | MR 1174242 | Zbl 0765.28011

De Simone A.; Navara M.; Pták P. On interval homogeneous orthomodular lattices, Comment. Math. Univ. Carolinae 42 (2001), 1 23-30. (2001) | MR 1825370 | Zbl 1052.06007

Dvurečenskij A.; Pulmannová S. New Trends in Quantum Structures, Mathematics and its Applications, 516, Kluwer Acad. Publ., Dordrecht; Ister Science, Bratislava, 2000. | MR 1861369

Epstein L.G.; Zhang J. Subjective probabilities on subjectively unambiguous events, Econometrica 69 ((2001)), 2 265-306. ((2001)) | MR 1819756 | Zbl 1020.91048

Knowles G. Liapunov vector measures, SIAM J. Control 13 (1975), 294-303. (1975) | MR 0388216

Weber H. Uniform lattices I, II. A generalization of topological Riesz spaces and topological Boolean rings; Order continuity and exhaustivity, Ann. Mat. Pura Appl. (4) 160 (1991), 347-370 (1992); (4) 165 (1993), 133-158. (1991) | MR 1163215

Weber H. On modular functions, Funct. Approx. Comment. Math. 24 (1996), 35-52. (1996) | MR 1453447 | Zbl 0887.06011