| Title:
|
Nikodým convergence theorem for uniform space valued functions defined on $D$-posets (English) |
| Author:
|
de Lucia, Paolo |
| Author:
|
Pap, Endre |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
367-376 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28C99 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 0856.28008 |
| idMR:
|
MR1387053 |
| . |
| Date available:
|
2009-09-25T11:09:26Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130213 |
| . |
| Reference:
|
[1] BIRKHOFF G.: Lattice Theory.(3rd edition). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] CHANG C. C.: Algebraic analysis of many valued logics.Trans. Amer. Math. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302 |
| Reference:
|
[3] CONSTANTINESCU C.: Spaces of Measures.Walter de Gruyter, Berlin-New York, 1984. Zbl 0555.28004, MR 0748135 |
| Reference:
|
[4] CONSTANTINESCU C.: Nikodým boundedness theorem.Libertas Math. 1 (1981), 51-73. MR 0623364 |
| Reference:
|
[5] COOK T. A.: The Nikodým-Hahn-Vitali-Saks theorem for states in a quantum logic.In: Mathematical Foundations of Quantum Theory, Academic Press, London, 1978, pp. 275-285. MR 0503098 |
| Reference:
|
[6] de LUCIA P., DVUREČENSKIJ A.: Decompositions of Riesz space-valued measures on orthomodular posets.Tatra Mountains Math. Publ. 2 (1993), 229-239. Zbl 0803.28006, MR 1251058 |
| Reference:
|
[7] de LUCIA P., DVUREČENSKIJ A.: Yosida-Hewitt decompositions of Riesz space-valued measures on orthoalgebras.Tatra Mountains Math. Publ. 3 (1993), 101-110. Zbl 0804.28005, MR 1278524 |
| Reference:
|
[8] de LUCIA P., MORALES P.: Non-commutative decomposition theorems in Riesz spaces.Proc. Amer. Math. Soc. 120 (1994), 193-202. MR 1203982 |
| Reference:
|
[9] DVUREČENSKIJ A.: On convergences of signed states.Math. Slovaca 28 (1978), 289-295. Zbl 0421.28003, MR 0534996 |
| Reference:
|
[10] DVUREČENSKIJ A.: Regular measures and completeness of inner product spaces.In: Contrib. General Algebras 7, Holder-Pichler-Tempski; Verlag B. G. Teubner, Wien; Stuttgart, 1991, pp. 137-147. Zbl 0795.28011, MR 1143075 |
| Reference:
|
[11] DVUREČENSKIJ A.: Completeness of inner product spaces and quantum logic of splitting subspaces.Lett. Math. Phys. 15 (1988), 231-235. MR 0948357 |
| Reference:
|
[12] DVUREČENSKIJ A.: Gleason's Theorem and Applications.Kluwer Academic Publ.; Ister Science Press, Dordrecht-Boston-London; Bratislava, 1993. MR 1256736 |
| Reference:
|
[13] DVUREČENSKIJ A., RIEČAN B.: Fuzzy quantum models.Internat. J. General Systems 20 (1991), 39-54. Zbl 0746.60004, MR 1089012 |
| Reference:
|
[14] DVUREČENSKIJ A., RIEČAN B.: Decompositions of measures on orthoalgebras and difference posets..Internat. J. Theoret. Phys. 33 (1994), 1387-1402. Zbl 0815.03038, MR 1295164 |
| Reference:
|
[15] FOULIS D. J., GREECHIE R. J., RUTTIMANN G. T.: Filters and supports in orthoalgebras.Internat. J. Theoret. Phys. 31 (1992), 787-807. MR 1162623 |
| Reference:
|
[16] KALMBACH G.: Orthomodular Lattices.Acad. Press, London-New York, 1983. Zbl 0528.06012, MR 0716496 |
| Reference:
|
[17] KLEMENT E. P., WEBER S.: Generalized measures.Fuzzy Sets and Systems 40 (1991), 375-394. Zbl 0733.28012, MR 1103665 |
| Reference:
|
[18] KÔPKA F.: D-posets of fuzzy sets.Tatra Mountains Math. Publ. 1 (1992), 83-87. Zbl 0797.04011, MR 1230466 |
| Reference:
|
[19] KÔPKA F., CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 |
| Reference:
|
[20] LUXEMBURG W. A. J., ZAANEN A. C.: Riesz Spaces I.North-Holland, Amsterdam-London, 1971. |
| Reference:
|
[21] MUNDICI D.: Interpretation of AFC*-algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-53. MR 0819173 |
| Reference:
|
[22] NAVARA M., PTÁK P.: Difference posets and orthoalgebras.(Submitted). |
| Reference:
|
[23] PAP E.: Decompositions of supermodular functions and □-decomposable measures.Fuzzy Sets and Systems 65 (1994), 71-83. MR 1294041 |
| Reference:
|
[24] PAP E.: On non-additive set functions.Atti. Sem. Mat. Fis. Univ. Modena 39 (1991), 345-360. Zbl 0732.28009, MR 1111778 |
| Reference:
|
[25] PAP E.: The Brooks-Jewett theorem for non-additive set functions.Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 21 (1991), 75-82. Zbl 0753.28011, MR 1158446 |
| Reference:
|
[26] PTÁK P., PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics.Kluwer Acad. Press, Dordrecht, 1991. Zbl 0743.03039, MR 1176314 |
| Reference:
|
[27] RANDALL C., FOULIS D.: New Definitions and Theorems.University of Massachusetts Mimeogгaphed Notes, Amherst, Massachusetts, 1979. |
| Reference:
|
[28] RANDALL C., FOULIS D.: Empirical logic and tensor products.In: Interpretations and Foundations of quantum Theory. Vol. 5 (H. Neumann, ed.), Wissenschaftsverlag, Bibliographisches Institut, Mannheim, 1981, pp. 9-20. Zbl 0495.03041, MR 0683888 |
| Reference:
|
[29] RÜTTIMANN G. T.: The approximate Jordan-Hahn decomposition.Canad. J. Math. 41 (1989), 1124-1146. Zbl 0699.28001, MR 1018455 |
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