A Dieudonné theorem for lattice group-valued measures
Kybernetika (2019)
- Volume: 55, Issue: 5, page 870-878
- ISSN: 0023-5954
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topBarbieri, Giuseppina. "A Dieudonné theorem for lattice group-valued measures." Kybernetika 55.5 (2019): 870-878. <http://eudml.org/doc/295081>.
@article{Barbieri2019,
abstract = {A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.},
author = {Barbieri, Giuseppina},
journal = {Kybernetika},
keywords = {effect algebra; Dieudonné theorem; modular measures; lattice group},
language = {eng},
number = {5},
pages = {870-878},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A Dieudonné theorem for lattice group-valued measures},
url = {http://eudml.org/doc/295081},
volume = {55},
year = {2019},
}
TY - JOUR
AU - Barbieri, Giuseppina
TI - A Dieudonné theorem for lattice group-valued measures
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 5
SP - 870
EP - 878
AB - A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.
LA - eng
KW - effect algebra; Dieudonné theorem; modular measures; lattice group
UR - http://eudml.org/doc/295081
ER -
References
top- Avallone, A., Separating points of measures on effect algebras., Mathematica Slovaca 20 (2006), 203-214. MR2357812
- Avallone, A., Cafiero and Nikodym boundedness theorem in effect algebras., Ital. J. Pure Appl. Math. 57 (2007), 2, 129-140. MR2247423
- Barbieri, G., On the Dieudonné theorem., Sci. Math. Japon. 70 (2009), 3, 279-284. MR2562049
- Bennett, M. K., Foulis, D. J., 10.1007/bf02283036, Found. Phys. 24 (1994), 10, 1331-1352. MR1304942DOI10.1007/bf02283036
- Boccuto, A., Dieudonné-type theorems for means with values in Riesz spaces., Tatra Mountains Math. Publ. 8 (1996), 9-42. MR1475257
- Boccuto, A., Candeloro, D., Some new results about Brooks-Jewett and Dieudonné-type theorems in (l)-groups., Kybernetika 46 (2010), 6, 1049-1060. MR2797426
- Boccuto, A., Dimitriou, X., 10.1007/s00009-018-1222-9, Mediterr. J. Math. 4 (2018), Art. 174, 20 pp. MR3825621DOI10.1007/s00009-018-1222-9
- Butnariu, D., Klement, E. P., 10.1007/978-94-017-3602-2, Theory and Decision Library. Series C: Game Theory, Mathematical Programming and Operations Research, 10. Kluwer Academic Publishers Group, Dordrecht 1993. MR2867321DOI10.1007/978-94-017-3602-2
- Chovanec, F., Kopka, F., D-posets., Math. Slovaca 44 (1994), 1, 21-34. MR1290269
- Dvurečenskij, A., Pulmannová, S., 10.1007/978-94-017-2422-7_1, Kluwer Academic Publishers, Bratislava 2000. Zbl0987.81005MR1861369DOI10.1007/978-94-017-2422-7_1
- Epstein, L. G., Zhang, J., 10.1111/1468-0262.00193, Econometrica 69 (2001), 2, 265-306. MR1819756DOI10.1111/1468-0262.00193
- Fleischer, I., Traynor, T., Equivalence of group-valued measures on an abstract lattice., Bull. Acad. Polon. Sci. Sci. Math. 28 (1980), 11-12, 549-556. MR0628641
- Fremlin, D. H., 10.1112/jlms/s2-11.3.276, J. London Math. Soc. 11 (1975), 2, 276-284. MR0380345DOI10.1112/jlms/s2-11.3.276
- Riečan, B., Neubrunn, T., 10.1007/978-94-015-8919-2, Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislavia 1997. Zbl0916.28001MR1489521DOI10.1007/978-94-015-8919-2
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