Lyapunov measures on effect algebras

Anna Avallone; Giuseppina Barbieri

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 3, page 389-397
  • ISSN: 0010-2628

Abstract

top
We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.

How to cite

top

Avallone, Anna, and Barbieri, Giuseppina. "Lyapunov measures on effect algebras." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 389-397. <http://eudml.org/doc/249163>.

@article{Avallone2003,
abstract = {We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.},
author = {Avallone, Anna, Barbieri, Giuseppina},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lyapunov measures; effect algebras; modular functions; Lyapunov measures; effect algebras; modular functions},
language = {eng},
number = {3},
pages = {389-397},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Lyapunov measures on effect algebras},
url = {http://eudml.org/doc/249163},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Avallone, Anna
AU - Barbieri, Giuseppina
TI - Lyapunov measures on effect algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 3
SP - 389
EP - 397
AB - We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.
LA - eng
KW - Lyapunov measures; effect algebras; modular functions; Lyapunov measures; effect algebras; modular functions
UR - http://eudml.org/doc/249163
ER -

References

top
  1. Avallone A., Lattice uniformities on orthomodular structures, Math. Slovaca 51 (2001), 4 403-419. (2001) Zbl1015.28014MR1864109
  2. Avallone A., Liapunov modular functions, submitted. 
  3. Avallone A., Separating points of measures on effect algebras, preprint. Zbl1150.28009MR2357812
  4. Avallone A., Basile A., On a Marinacci uniqueness theorem for measures, J. Math. Anal. Appl., to appear. Zbl1052.28011
  5. Barbieri G., Lyapunov's theorem for measures on D-posets, Internat. J. Theoret. Phys., to appear. Zbl1081.81007MR2108298
  6. Beltrametti E.G., Cassinelli G., The Logic of Quantum Mechanics, Addison-Wesley Publishing Co., Reading, Mass., 1981. Zbl0595.03062MR0635780
  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. (1994) MR1304942
  8. Bennett M.K., Foulis D.J., Phi-symmetric effect algebras, Found. Phys. 25 (1995), 12 1699-172. (1995) MR1377109
  9. Butnariu D., Klement P., Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Acad. Publ., 1993. Zbl0804.90145
  10. Chovanec F., Kopka F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
  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. (1991) Zbl0765.28011MR1174242
  12. De Simone A., Navara M., Pták P., On interval homogeneous orthomodular lattices, Comment. Math. Univ. Carolinae 42 (2001), 1 23-30. (2001) Zbl1052.06007MR1825370
  13. Dvurečenskij A., Pulmannová S., New Trends in Quantum Structures, Mathematics and its Applications, 516, Kluwer Acad. Publ., Dordrecht; Ister Science, Bratislava, 2000. MR1861369
  14. Epstein L.G., Zhang J., Subjective probabilities on subjectively unambiguous events, Econometrica 69 ((2001)), 2 265-306. ((2001)) Zbl1020.91048MR1819756
  15. Knowles G., Liapunov vector measures, SIAM J. Control 13 (1975), 294-303. (1975) MR0388216
  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. (1991) MR1163215
  17. Weber H., On modular functions, Funct. Approx. Comment. Math. 24 (1996), 35-52. (1996) Zbl0887.06011MR1453447

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.