| Title:
|
Lyapunov measures on effect algebras (English) |
| Author:
|
Avallone, Anna |
| Author:
|
Barbieri, Giuseppina |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
389-397 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras. (English) |
| Keyword:
|
Lyapunov measures |
| Keyword:
|
effect algebras |
| Keyword:
|
modular functions |
| MSC:
|
06C15 |
| MSC:
|
22B05 |
| idZBL:
|
Zbl 1097.22002 |
| idMR:
|
MR2025808 |
| . |
| Date available:
|
2009-01-08T19:30:04Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119396 |
| . |
| Reference:
|
[1] Avallone A.: Lattice uniformities on orthomodular structures.Math. Slovaca 51 (2001), 4 403-419. Zbl 1015.28014, MR 1864109 |
| Reference:
|
[2] Avallone A.: Liapunov modular functions.submitted. |
| Reference:
|
[3] Avallone A.: Separating points of measures on effect algebras.preprint. Zbl 1150.28009, MR 2357812 |
| Reference:
|
[4] Avallone A., Basile A.: On a Marinacci uniqueness theorem for measures.J. Math. Anal. Appl., to appear. Zbl 1052.28011 |
| Reference:
|
[5] Barbieri G.: Lyapunov's theorem for measures on D-posets.Internat. J. Theoret. Phys., to appear. Zbl 1081.81007, MR 2108298 |
| Reference:
|
[6] Beltrametti E.G., Cassinelli G.: The Logic of Quantum Mechanics.Addison-Wesley Publishing Co., Reading, Mass., 1981. Zbl 0595.03062, MR 0635780 |
| Reference:
|
[7] 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. MR 1304942 |
| Reference:
|
[8] Bennett M.K., Foulis D.J.: Phi-symmetric effect algebras.Found. Phys. 25 (1995), 12 1699-172. MR 1377109 |
| Reference:
|
[9] Butnariu D., Klement P.: Triangular Norm-Based Measures and Games with Fuzzy Coalitions.Kluwer Acad. Publ., 1993. Zbl 0804.90145 |
| Reference:
|
[10] Chovanec F., Kopka F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 |
| Reference:
|
[11] de Lucia P., Wright J.D.M.: Group valued measures with the Lyapunoff property.Rend. Circ. Mat. Palermo (2) 40 3 (1991), 442-452. Zbl 0765.28011, MR 1174242 |
| Reference:
|
[12] De Simone A., Navara M., Pták P.: On interval homogeneous orthomodular lattices.Comment. Math. Univ. Carolinae 42 (2001), 1 23-30. Zbl 1052.06007, MR 1825370 |
| Reference:
|
[13] Dvurečenskij A., Pulmannová S.: New Trends in Quantum Structures.Mathematics and its Applications, 516, Kluwer Acad. Publ., Dordrecht; Ister Science, Bratislava, 2000. MR 1861369 |
| Reference:
|
[14] Epstein L.G., Zhang J.: Subjective probabilities on subjectively unambiguous events.Econometrica 69 ((2001)), 2 265-306. Zbl 1020.91048, MR 1819756 |
| Reference:
|
[15] Knowles G.: Liapunov vector measures.SIAM J. Control 13 (1975), 294-303. MR 0388216 |
| Reference:
|
[16] 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. MR 1163215 |
| Reference:
|
[17] Weber H.: On modular functions.Funct. Approx. Comment. Math. 24 (1996), 35-52. Zbl 0887.06011, MR 1453447 |
| . |
