Control and separating points of modular functions
Anna Avallone; Giuseppina Barbieri; Raffaella Cilia
Mathematica Slovaca (1999)
- Volume: 49, Issue: 2, page 155-182
- ISSN: 0232-0525
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topAvallone, Anna, Barbieri, Giuseppina, and Cilia, Raffaella. "Control and separating points of modular functions." Mathematica Slovaca 49.2 (1999): 155-182. <http://eudml.org/doc/34492>.
@article{Avallone1999,
author = {Avallone, Anna, Barbieri, Giuseppina, Cilia, Raffaella},
journal = {Mathematica Slovaca},
keywords = {modular functions; complemented lattices; controls; separating points},
language = {eng},
number = {2},
pages = {155-182},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Control and separating points of modular functions},
url = {http://eudml.org/doc/34492},
volume = {49},
year = {1999},
}
TY - JOUR
AU - Avallone, Anna
AU - Barbieri, Giuseppina
AU - Cilia, Raffaella
TI - Control and separating points of modular functions
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 2
SP - 155
EP - 182
LA - eng
KW - modular functions; complemented lattices; controls; separating points
UR - http://eudml.org/doc/34492
ER -
References
top- AAVALLONE A., Liapunov theorem for modular functions, Internat. J. Theoret. Phys. 34 (1995), 1197-1204. (1995) MR1353662
- AVALLONE A., Nonatomic vector-valued modular functions, Preprint (1995). (1995) MR1739014
- AVALLONE A., LEPELLERE M. A., Modular functions: Uniform boundedness and compactness, Rend. Circ. Mat. Palermo (2) XLVII (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 (Y. Abramovich et al., eds.), Springer, Berlin, 1998, pp. 17-46. (1998) Zbl0916.28015MR1730117
- BASILE A.-WEBER H., Topological Boolean rings of first and second category, Separating points for a countable family of measures, Radovi Mat. 2 (1986), 113-125. (1986) Zbl0596.28015MR0852966
- BASILE A., Controls of families of finitely additive functions, Ricerche Mat. XXXV (1986), 291-302. (1986) Zbl0648.28007MR0932439
- BIRKHOFF G., Lattice Theory, (3rd ed.), Amer. Math. Soc, Providence, R.L, 1967. (1967) Zbl0153.02501MR0227053
- COSTANTINESCU C., Some properties of speces of measures, Atti Sem. Mat. Fis. Univ. Modena 35, Supplemento (1987). (1987)
- DREWNOWSKI L., Topological rings of sets, continuous set functions, integration. III, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 20 (1972), 439-445. (1972) Zbl0249.28006MR0316653
- DREWNOWSKI L., On control submeasures and measures, Studia Math. L (1974), 203-224. (1974) Zbl0285.28015MR0352394
- FLEISCHER I.-TRAYNOR T., Equivalence of group-valued measure on an abstract lattice, Bull. Acad. Polon. Sci. Ser. Sci. Math. 28 (1980), 549-556. (1980) MR0628641
- FLEISCHER I.-TRAYNOR T., Group-valued modular functions, Algebra Universalis 14 (1982), 287-291. (1982) Zbl0458.06004MR0654397
- GOULD G. G., Extensions of vector-valued measures, Proc. London. Math. Soc. 16 (1966), 685-704. (1966) Zbl0148.38102MR0196035
- G., General Lattice Theory, Pure Appl. Math., Academic Press, Boston, MA, 1978. (1978) Zbl0436.06001MR0509213
- KINDLER J., A Mazur-Orlicz type theorem for submodular set functions, J. Math. Anal. Appl. 120 (1986), 533-546. (1986) Zbl0605.28004MR0864770
- KRANZ P., Mutual equivalence of vector and scalar measures on lattices, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 25 (1977), 243-250. (1977) Zbl0361.46041MR0444892
- KLEMENT E. P.-WEBER S., Generalized measure, Fuzzy Sets and Systems 40 (1991), 375-394. (1991) MR1103665
- LIPECKI Z., A characterization of group-valued measures satisfying the countable chain condition, Colloq. Math. 11 (1974), 231-234. (1974) Zbl0271.28009MR0364595
- OHBA S., Some remarks on vector measures, Bull. Math. Soc. Sci. Math. 16 (1972), 217-223. (1972) Zbl0275.28015MR0335746
- PAP E., Hewitt-Yosida decomposition for □-decomposable measures, Tatra Mt. Math. Publ. 3 (1993), 147-154. (1993) MR1278528
- PAP E., Decompositions of supermodular functions and □-decomposable measures, Fuzzy Sets and Systems 65 (1994), 71-83. (1994) MR1294041
- SCHMIDT K., Jordan Decompositions of Generalized Vector Measures, Pitman Res. Notes Math. Ser. 214., Longman Sci. Tech., Harlow, 1989. (1989) Zbl0692.28004MR1028550
- TRAYNOR T., Modular functions and their Frechet-Nikodym topologies, In: Lecture Notes in Math. 1089, Springer, New Yourk, 1984, pp. 171-180. (1984) Zbl0576.28014MR0786696
- 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., Valuations on complemented lattices, Internat. J. Theoret. Phys. 34 (1995), 1799-1806. (1995) Zbl0843.06005MR1353726
- 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., Uniform lattices and modular functions, Atti Sem. Mat. Fis. Univ. Modena XLVII (1999), 159-182. (1999) Zbl0989.28007MR1694416
- WEBER H., [unknown], Manuscript. Zbl1239.00005
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