Nikodým convergence theorem for uniform space valued functions defined on D -posets

Paolo de Lucia; Endre Pap

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 4, page 367-376
  • ISSN: 0139-9918

How to cite

top

de Lucia, Paolo, and Pap, Endre. "Nikodým convergence theorem for uniform space valued functions defined on $D$-posets." Mathematica Slovaca 45.4 (1995): 367-376. <http://eudml.org/doc/31948>.

@article{deLucia1995,
author = {de Lucia, Paolo, Pap, Endre},
journal = {Mathematica Slovaca},
keywords = {difference posets; Nikodým theorem; -posets; exhaustiveness},
language = {eng},
number = {4},
pages = {367-376},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Nikodým convergence theorem for uniform space valued functions defined on $D$-posets},
url = {http://eudml.org/doc/31948},
volume = {45},
year = {1995},
}

TY - JOUR
AU - de Lucia, Paolo
AU - Pap, Endre
TI - Nikodým convergence theorem for uniform space valued functions defined on $D$-posets
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 4
SP - 367
EP - 376
LA - eng
KW - difference posets; Nikodým theorem; -posets; exhaustiveness
UR - http://eudml.org/doc/31948
ER -

References

top
  1. BIRKHOFF G., Lattice Theory, (3rd edition). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. (1967) Zbl0153.02501MR0227053
  2. CHANG C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  3. CONSTANTINESCU C., Spaces of Measures, Walter de Gruyter, Berlin-New York, 1984. (1984) Zbl0555.28004MR0748135
  4. CONSTANTINESCU C., Nikodým boundedness theorem, Libertas Math. 1 (1981), 51-73. (1981) MR0623364
  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. (1978) MR0503098
  6. de LUCIA P., DVUREČENSKIJ A., Decompositions of Riesz space-valued measures on orthomodular posets, Tatra Mountains Math. Publ. 2 (1993), 229-239. (1993) Zbl0803.28006MR1251058
  7. de LUCIA P., DVUREČENSKIJ A., Yosida-Hewitt decompositions of Riesz space-valued measures on orthoalgebras, Tatra Mountains Math. Publ. 3 (1993), 101-110. (1993) Zbl0804.28005MR1278524
  8. de LUCIA P., MORALES P., Non-commutative decomposition theorems in Riesz spaces, Proc. Amer. Math. Soc. 120 (1994), 193-202. (1994) MR1203982
  9. DVUREČENSKIJ A., On convergences of signed states, Math. Slovaca 28 (1978), 289-295. (1978) Zbl0421.28003MR0534996
  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. (1991) Zbl0795.28011MR1143075
  11. DVUREČENSKIJ A., Completeness of inner product spaces and quantum logic of splitting subspaces, Lett. Math. Phys. 15 (1988), 231-235. (1988) MR0948357
  12. DVUREČENSKIJ A., Gleason's Theorem and Applications, Kluwer Academic Publ.; Ister Science Press, Dordrecht-Boston-London; Bratislava, 1993. (1993) MR1256736
  13. DVUREČENSKIJ A., RIEČAN B., Fuzzy quantum models, Internat. J. General Systems 20 (1991), 39-54. (1991) Zbl0746.60004MR1089012
  14. DVUREČENSKIJ A., RIEČAN B., Decompositions of measures on orthoalgebras and difference posets., Internat. J. Theoret. Phys. 33 (1994), 1387-1402. (1994) Zbl0815.03038MR1295164
  15. FOULIS D. J., GREECHIE R. J., RUTTIMANN G. T., Filters and supports in orthoalgebras, Internat. J. Theoret. Phys. 31 (1992), 787-807. (1992) MR1162623
  16. KALMBACH G., Orthomodular Lattices, Acad. Press, London-New York, 1983. (1983) Zbl0528.06012MR0716496
  17. KLEMENT E. P., WEBER S., Generalized measures, Fuzzy Sets and Systems 40 (1991), 375-394. (1991) Zbl0733.28012MR1103665
  18. KÔPKA F., D-posets of fuzzy sets, Tatra Mountains Math. Publ. 1 (1992), 83-87. (1992) Zbl0797.04011MR1230466
  19. KÔPKA F., CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
  20. LUXEMBURG W. A. J., ZAANEN A. C., Riesz Spaces I, North-Holland, Amsterdam-London, 1971. (1971) 
  21. MUNDICI D., Interpretation of AFC*-algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-53. (1986) MR0819173
  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. (1994) MR1294041
  24. PAP E., On non-additive set functions, Atti. Sem. Mat. Fis. Univ. Modena 39 (1991), 345-360. (1991) Zbl0732.28009MR1111778
  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. (1991) Zbl0753.28011MR1158446
  26. PTÁK P., PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, Kluwer Acad. Press, Dordrecht, 1991. (1991) Zbl0743.03039MR1176314
  27. RANDALL C., FOULIS D., New Definitions and Theorems, University of Massachusetts Mimeogгaphed Notes, Amherst, Massachusetts, 1979. (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. (1981) Zbl0495.03041MR0683888
  29. RÜTTIMANN G. T., The approximate Jordan-Hahn decomposition, Canad. J. Math. 41 (1989), 1124-1146. (1989) Zbl0699.28001MR1018455

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.