Lattice uniformities on orthomodular structures
Mathematica Slovaca (2001)
- Volume: 51, Issue: 4, page 403-419
- ISSN: 0232-0525
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topAvallone, Anna. "Lattice uniformities on orthomodular structures." Mathematica Slovaca 51.4 (2001): 403-419. <http://eudml.org/doc/32220>.
@article{Avallone2001,
author = {Avallone, Anna},
journal = {Mathematica Slovaca},
keywords = {orthomodular lattice; difference-lattice; modular function; lattice uniformities; -submeasure},
language = {eng},
number = {4},
pages = {403-419},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lattice uniformities on orthomodular structures},
url = {http://eudml.org/doc/32220},
volume = {51},
year = {2001},
}
TY - JOUR
AU - Avallone, Anna
TI - Lattice uniformities on orthomodular structures
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 4
SP - 403
EP - 419
LA - eng
KW - orthomodular lattice; difference-lattice; modular function; lattice uniformities; -submeasure
UR - http://eudml.org/doc/32220
ER -
References
top- AVALLONE A., Liapunov theorem for modular functions, Internat. J. Theoгet. Phys. 34 (1995), 1197-1204. (1995) Zbl0841.28007MR1353662
- AVALLONE A., Nonatomic vector-valued modular functions, Annal. Soc. Math. Polon. Ser. I: Comment. Math. 39 (1999), 37-50. (1999) Zbl0987.28012MR1739014
- AVALLONE A.-BARBIERI G.-CILIA R., Control and separating points of modular functions, Math. Slovaca 49 (1999), 155-182. (1999) Zbl0965.28004MR1696950
- AVALLONE A.-DE SIMONE A., Extensions of modular functions on orthomodular lattices, Ital. J. Pure Appl. Math. 9 (2001), 109-122. MR1842373
- AVALLONE A.-LEPELLERE M. A., Modular functions: Uniform boundedness and compactness, Rend. Circ. Mat. Palermo (2) 47 (1998), 221-264. (1998) Zbl0931.28009MR1633479
- AVALLONE A.-WEBER H., Lattice uniformities generated by filters, J. Math. Anal. Appl. 209 (1997), 507-528. (1997) Zbl0907.06015MR1474622
- BARBIERI G.-WEBER H., A topological approach to the study of fuzzy measures, In: Functional Analysis and Economic Theory, Springer, Samos, 1996, pp. 17-46. (1996) MR1730117
- BARBIERI G.-LEPELLERE M. A.-WEBER H., The Hahn decomposition theorem for fuzzy measures and applications, Fuzzy Sets and Systems (To appear). Zbl0977.28013MR1809398
- BENNETT M. K.-FOULIS D. J., Effect algebras and unsharp quantum logics, Found. Phys. 24 (1994), 1331-1352. (1994) Zbl1213.06004MR1304942
- CHOVANEC F.-KÔPKA F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
- CHOVANEC F.-KÔPKA F., D-lattices, Intern. J. Theoret. Phys. 34 (1995), 1297-1302. (1995) Zbl0840.03046MR1353674
- DE LUCIA P.-DVUREČENSKI A.-PAP E., On a decomposition theorem and its applications, Math. Japonica 44 (1996), 145-164. (1996) Zbl0886.28012MR1402810
- DE LUCIA P.-PAP E., Nikodym convergence theorem for uniform space-valued functions defined on D-poset, Math. Slovaca 45 (1995), 367-376. (1995) MR1387053
- DREWNOWSKI L., Topological rings of sets, continuous set functions, integration I, II, Bull. Polish. Acad. Sci. Math. 20 (1972), 269-286. (1972) MR0306432
- FLEISCHER I.-TRAYNOR T., Equivalence of group-valued measures on an abstract lattice, Bull. Polish. Acad. Sci. Math. 28 (1980), 549-556. (1980) Zbl0514.28004MR0628641
- FLEISCHER L.-TRAYNOR T., Group-valued modular functions, Algebra Univeгsalis 14 (1982), 287-291. (1982) Zbl0458.06004MR0654397
- FOULIS D. J.-GREECHIE R. J.-PULMANNOVÁ S., The center of an effect algebra, Order 12 (1995), 91-106. (1995) Zbl0846.03031MR1336539
- GRAZIANO M. G., Uniformities of Fréchet-Nikodym type on Vitali spaces, Semigroup Forum (To appear). Zbl0966.28008MR1839217
- KALMBACH G., Orthomodular Lattices, London Math. Soc. Monographs 18, Academic Press Inc, London, 1983. (1983) Zbl0528.06012MR0689129
- LIPECKI Z., Extensions of additive set functions with values in a topological group, Bull. Polish. Acad. Sci. Math. 22 (1974), 19-27. (1974) Zbl0275.28013MR0349947
- PALKO V., Topological difference posets, Math. Slovaca 47 (1997), 211-220. (1997) Zbl1018.06501MR1796327
- PAP E., Null-Additive Set Functions, Kluwer Academic Publ, Dordrecht, 1995. (1995) Zbl0968.28010MR1368630
- PTÁK P.-PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, Kluwer Acad. Publ., Dordrecht, 1991. (1991) Zbl0743.03039MR1176314
- PULMANNOVÁ S., On connection among some orthomodular structures, Demostratio Math. 30 (1997), 313-328. (1997) MR1469597
- RIEČAN B.-NEUBRUNN T., Integral, Measure and Ordering, Dordrecht, Kluwer Acad. Publ., 1997. (1997) Zbl0916.28001MR1489521
- RIEČANOVÁ Z., A topology on a quantum logic induced by a measure, In: Proceed. Conf. Topology and Measure V, Wissensch Beitr, Greifswald, 1988, pp. 126-130. (1988) MR1029570
- WEBER H., Group-and vector-valued-s-bounded contents, In: Lecture Notes in Math. 1089, Springer, New York, 1984, pp. 181-198. (1984) Zbl0552.28011MR0786697
- WEBER H., Uniform lattices I: A generalization of topological Riesz space and topological Boolean rings; Uniform lattices II, Ann. Mat. Pura Appl. 160; 165 (1991; 1993), 347-370; 133-158. (1991) MR1163215
- WEBER H., Metrization of uniform lattices, Czechoslovak Math. J. 43 (1993), 271-280. (1993) Zbl0818.06006MR1211749
- WEBER H., Lattice uniformities and modular functions on orthomodular lattices, Order 12 (1995), 295-305. (1995) Zbl0834.06013MR1361614
- WEBER H., On modular functions, Funct. Approx. Comment. Math. 24 (1996), 35-52. (1996) Zbl0887.06011MR1453447
- WEBER H., Valuations on complemented lattices, Intern. J. Theoret. Phys. 34 (1995), 1799-1806. (1995) Zbl0843.06005MR1353726
- WEBER H., Complemented uniform lattices, Topology Appl. 105 (2000), 47-64. Zbl1121.54312MR1761086
- WEBER H., Two extension theorems. Modular functions on complemented lattices, Preprint. Zbl0998.06006MR1885457
Citations in EuDML Documents
top- Anna Avallone, Giuseppina Barbieri, Lyapunov measures on effect algebras
- Anna Avallone, Separating points of measures on effect algebras
- Anna Avallone, Anna De Simone, Paolo Vitolo, Effect algebras and extensions of measures
- Giuseppina Barbieri, An extension theorem for modular measures on effect algebras
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