Nikodým convergence theorem for uniform space valued functions defined on $D$-posets
Mathematica slovaca, Tome 45 (1995) no. 4, pp. 367-376
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de Lucia, Paolo; Pap, Endre. Nikodým convergence theorem for uniform space valued functions defined on $D$-posets. Mathematica slovaca, Tome 45 (1995) no. 4, pp. 367-376. http://geodesic.mathdoc.fr/item/MASLO_1995_45_4_a5/

[1] BIRKHOFF G.: Lattice Theory. (3rd edition). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. | MR | Zbl

[2] CHANG C. C.: Algebraic analysis of many valued logics. Trans. Amer. Math. Soc. 88 (1958), 467-490. | MR | Zbl

[3] CONSTANTINESCU C.: Spaces of Measures. Walter de Gruyter, Berlin-New York, 1984. | MR | Zbl

[4] CONSTANTINESCU C.: Nikodým boundedness theorem. Libertas Math. 1 (1981), 51-73. | MR

[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

[6] de LUCIA P., DVUREČENSKIJ A.: Decompositions of Riesz space-valued measures on orthomodular posets. Tatra Mountains Math. Publ. 2 (1993), 229-239. | MR | Zbl

[7] de LUCIA P., DVUREČENSKIJ A.: Yosida-Hewitt decompositions of Riesz space-valued measures on orthoalgebras. Tatra Mountains Math. Publ. 3 (1993), 101-110. | MR | Zbl

[8] de LUCIA P., MORALES P.: Non-commutative decomposition theorems in Riesz spaces. Proc. Amer. Math. Soc. 120 (1994), 193-202. | MR

[9] DVUREČENSKIJ A.: On convergences of signed states. Math. Slovaca 28 (1978), 289-295. | MR | Zbl

[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. | MR | Zbl

[11] DVUREČENSKIJ A.: Completeness of inner product spaces and quantum logic of splitting subspaces. Lett. Math. Phys. 15 (1988), 231-235. | MR

[12] DVUREČENSKIJ A.: Gleason's Theorem and Applications. Kluwer Academic Publ.; Ister Science Press, Dordrecht-Boston-London; Bratislava, 1993. | MR

[13] DVUREČENSKIJ A., RIEČAN B.: Fuzzy quantum models. Internat. J. General Systems 20 (1991), 39-54. | MR | Zbl

[14] DVUREČENSKIJ A., RIEČAN B.: Decompositions of measures on orthoalgebras and difference posets. Internat. J. Theoret. Phys. 33 (1994), 1387-1402. | MR | Zbl

[15] FOULIS D. J., GREECHIE R. J., RUTTIMANN G. T.: Filters and supports in orthoalgebras. Internat. J. Theoret. Phys. 31 (1992), 787-807. | MR

[16] KALMBACH G.: Orthomodular Lattices. Acad. Press, London-New York, 1983. | MR | Zbl

[17] KLEMENT E. P., WEBER S.: Generalized measures. Fuzzy Sets and Systems 40 (1991), 375-394. | MR | Zbl

[18] KÔPKA F.: D-posets of fuzzy sets. Tatra Mountains Math. Publ. 1 (1992), 83-87. | MR | Zbl

[19] KÔPKA F., CHOVANEC F.: D-posets. Math. Slovaca 44 (1994), 21-34. | MR | Zbl

[20] LUXEMBURG W. A. J., ZAANEN A. C.: Riesz Spaces I. North-Holland, Amsterdam-London, 1971.

[21] MUNDICI D.: Interpretation of AFC*-algebras in Lukasiewicz sentential calculus. J. Funct. Anal. 65 (1986), 15-53. | MR

[22] NAVARA M., PTÁK P.: Difference posets and orthoalgebras. (Submitted).

[23] PAP E.: Decompositions of supermodular functions and □-decomposable measures. Fuzzy Sets and Systems 65 (1994), 71-83. | MR

[24] PAP E.: On non-additive set functions. Atti. Sem. Mat. Fis. Univ. Modena 39 (1991), 345-360. | MR | Zbl

[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. | MR | Zbl

[26] PTÁK P., PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics. Kluwer Acad. Press, Dordrecht, 1991. | MR | Zbl

[27] RANDALL C., FOULIS D.: New Definitions and Theorems. University of Massachusetts Mimeogгaphed Notes, Amherst, Massachusetts, 1979.

[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. | MR | Zbl

[29] RÜTTIMANN G. T.: The approximate Jordan-Hahn decomposition. Canad. J. Math. 41 (1989), 1124-1146. | MR | Zbl