Separating points of measures on effect algebras

Anna Avallone

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [129]-140
  • ISSN: 0232-0525

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Avallone, Anna. "Separating points of measures on effect algebras." Mathematica Slovaca 57.2 (2007): [129]-140. <http://eudml.org/doc/34634>.

@article{Avallone2007,
author = {Avallone, Anna},
journal = {Mathematica Slovaca},
keywords = {modular function; effect algebra; separating point},
language = {eng},
number = {2},
pages = {[129]-140},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Separating points of measures on effect algebras},
url = {http://eudml.org/doc/34634},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Avallone, Anna
TI - Separating points of measures on effect algebras
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [129]
EP - 140
LA - eng
KW - modular function; effect algebra; separating point
UR - http://eudml.org/doc/34634
ER -

References

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  1. AVALLONE A., Lattice uniformities on orthomodular structures, Math. Slovaca 51 (2001), 403-419. Zbl1015.28014MR1864109
  2. AVALLONE A.-BARBIERI G.-CILIA R., Control and separating points of modular functions, Math. Slovaca 49 (1999), 155-182. (1999) Zbl0965.28004MR1696950
  3. AVALLONE A.-BASILE A., On a Marinacci uniqueness theorem for measures, J. Math. Anal. Appl. 286 (2003), 378-390. Zbl1052.28011MR2008838
  4. AVALLONE A.-VITOLO P., Lattice uniformities on effect algebras, Internat. J. Theoret. Phуs. (To appear). Zbl1104.81008MR2199496
  5. AVALLONE A.-BARBIERI G., Liapunov measures on effect algebras, Comment. Math. Univ. Carolin. 44 (2003), 389-397. MR2025808
  6. BARBIERI G., Liapunov's theorem for measures on D-posets, Internat. J. Theoret. Phуs. 43 (2004), 1613-1623. MR2108298
  7. BENNETT M. K.-FOULIS D. J., Effect algebras and unsharp quantum logics, Found. Phуs. 24 (1994), 1331-1352. (1994) Zbl1213.06004MR1304942
  8. BASILE A.-WEBER H., Topological Boolean rings of first and second category. Separating points for a countable family of measures, Rad. Mat. 2 (1986), 113-125. (1986) Zbl0596.28015MR0852966
  9. BUTNARIU D.-KLEMENT P., Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Acad. Publ., Dordrecht, 1993. (1993) Zbl0804.90145MR2867321
  10. CIGNOLI R.-D'OTTAVIANO I. M. L.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Kluwer Acad. Publ., Dordrecht, 2000. Zbl0937.06009MR1786097
  11. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
  12. FLEISCHER I.-TRAYNOR T., Equivalence of group-valued measure on an abstract lattice, Bull. Polish Acad. Sci. Math. 28 (1980), 549-556. (1980) MR0628641
  13. PAP E., Pseudo-additive measures and their applications, In: Handbook of Measure Theory, Vol. I, II, North-Holland, Amsterdam, 2002, pp. 1403-1468. Zbl1018.28010MR1954645
  14. PTÁK P.-PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, Kluwer Academic Publ., Dordrecht, 1991. (1991) Zbl0743.03039MR1176314
  15. WEBER H., Uniform lattices I: A generalization of topological Riesz space and topological Boolean rings; Uniform lattices II, Ann. Mat. Pura Appl. (4) 160; 165 (1991; 1993), 347-370; 133-158. (1991) MR1163215
  16. WEBER Н., On modular functions, Funct. Approx. Comment. Math. 24 (1996), 35-52. (1996) Zbl0887.06011MR1453447

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