Duality for generalized events
Mathematica Slovaca (2004)
- Volume: 54, Issue: 1, page 49-60
- ISSN: 0139-9918
Access Full Article
topHow to cite
topFrič, Roman. "Duality for generalized events." Mathematica Slovaca 54.1 (2004): 49-60. <http://eudml.org/doc/34590>.
@article{Frič2004,
author = {Frič, Roman},
journal = {Mathematica Slovaca},
keywords = {effect algebra; convergence D-poset; convergence effect algebra; -convergence; epireflection; absolute prob; sober prob; operational random variable; generalized random variable; observable},
language = {eng},
number = {1},
pages = {49-60},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Duality for generalized events},
url = {http://eudml.org/doc/34590},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Frič, Roman
TI - Duality for generalized events
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 1
SP - 49
EP - 60
LA - eng
KW - effect algebra; convergence D-poset; convergence effect algebra; -convergence; epireflection; absolute prob; sober prob; operational random variable; generalized random variable; observable
UR - http://eudml.org/doc/34590
ER -
References
top- BUGAJSKI S., Statistical maps I. Basic properties, Math. Slovaca 51 (2001), 321-342. Zbl1088.81021MR1842320
- BUGAJSKI S., Statistical maps II. Operational random variables, Math. Slovaca 51 (2001), 343-361. Zbl1088.81022MR1842321
- CHOVANEC F., KÔPKA F., Difference posets in the quantum structures background, Internat. J. Theoret. Phys. 39 (2000), 571-583. Zbl0967.06007MR1790895
- DVUREČENSKIJ A., PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Academic Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
- FOULIS D. J., Algebraic measure theory, Atti. Sem. Mat. Fis. Univ. Modena 48 (2000), 435-461. Zbl1221.81023MR1811545
- FOULIS D. J.-BENNETT M. K., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1331-1352. (1994) Zbl1213.06004MR1304942
- FRIČ R., Sequential structures and probability: categorical reflections, In: Mathematik-Arbeitspapiere 48 (H.-E. Porst, ed.), Universität Bremen, 1997, pp. 157-169. (1997)
- FRIČ R., A Stone type duality and its applications to probability, Topology Proc. 22 (1999), 125-137. (1999) MR1718934
- FRIČ R., On observables, Internat. J. Theoret. Phys. 39 (2000), 677-686. Zbl0987.81009MR1790904
- FRIČ R., MV-Algebras: convergence and duality, In: Mathematik-Arbeitspapiere 54 (H. Herrlich, H.-E. Porst, eds.), Universität Bremen, 2000, pp. 169-179. MR1916158
- FRIČ R., Convergence and duality, Appl. Categ. Structures. 10 (2002), 257-266. Zbl1015.06010MR1916158
- FRIČ R., Measures on MV-algebras, Soft Comput. 7 (2002), 130-137. Zbl1021.28012
- FRIČ R., Łukasiewicz tribes are absolutely sequentially closed bold algebras, Czechoslovak Math. J. 52 (2002), 861-874. Zbl1016.28013MR1940065
- FRIČ R.-JAKUBÍK J., Sequential convergences on Boolean algebras defined by systems of maximal filters, Czechoslovak Math. J. 51 (2001), 261-274. Zbl0976.54003MR1844309
- GUDDER S., Combinations of observables, Internat. J. Theoret. Phys. 31 (2000), 695-704. Zbl1160.81306MR1790906
- JENČA G., Blocks of homogeneous effect algebras, Bull. Austral. Math. Soc. 64 (2001), 81-98. Zbl0985.03063MR1848081
- JAKUBÍK J., Sequential convergence in MV-algebras, Czechoslovak Math. J. 45, (1995), 709-726. (1995) MR1354928
- JUREČKOVÁ M., On the conditional expectation on probability MV-algebras with product, Soft Comput. 5 (2001), 381-385. Zbl1003.60010
- KÔPKA F.-CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
- MAC LANE S., Categories for the Working Mathematician, Springer-Verlag, New York-Heildelberg-Berlin, 1988. (1988)
- MUNDICI D., Tensor products and the Loomis-Sikorski theorem for MV-algebras, Adv. in Appl. Math. 22 (1999), 227-248. (1999) Zbl0926.06004MR1659410
- MUNDICI D.-RIEČAN B., Probability on MV-algebras, In: Handbook of Measure Theory (E. Pap, ed.), North-Holland, Amsterdam, 2002. Zbl1017.28002MR1954631
- NOVÁK J., Über die eindeutigen stetigen Erweiterungen stetiger Funktionen, Czechoslovak Math. J. 8 (1958), 344-355. (1958) Zbl0087.37501MR0100826
- NOVÁK J., On sequential envelopes defined by means of certain classes of functions, Czechoslovak Math. J. 18 (1968), 450-456. (1968) MR0232335
- PAPČO M., On measurable spaces and measurable maps, Tatra Mt. Math. Publ. (To appear). Zbl1112.06005MR2086282
- PAPČO M., On effect algebras, Preprint, 2003. Zbl1127.06003
- PETROVIČOVÁ J., On the entropy of partitions in product MV-algebras, Soft Comput. 4 (2000), 41-44. Zbl1008.37004
- PETROVIČOVÁ J., On the entropy of dynamical systems in product MV-algebras, Fuzzy Sets and Systems 121 (2001), 347-351. Zbl0983.37007MR1834520
- RIEČAN B.-NEUBRUNN T., Integral, Measure, and Ordering, Kluwer Acad. Publ., Dordrecht-Boston-London, 1997. (1997) Zbl0916.28001MR1489521
- RIEČANOVÁ Z., Proper effect algebras admitting no states, Internat. J. Theoret. Phys. 40 (2001), 1683-1691. Zbl0989.81003MR1858217
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.