| Title:
|
Coverable standard measures with the chain condition and the Lebesgue decomposition (English) |
| Author:
|
Kubokawa, Yoshihiro |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
315-324 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03E50 |
| MSC:
|
28A12 |
| MSC:
|
28C15 |
| idZBL:
|
Zbl 0841.28003 |
| idMR:
|
MR1331467 |
| DOI:
|
10.21136/CMJ.1995.128519 |
| . |
| Date available:
|
2009-09-24T09:47:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128519 |
| . |
| Reference:
|
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| Reference:
|
[2] P. Capek: Decomposition theorem in measure theory.Math. Slovaca 31 (1981), 53–69. MR 0619507 |
| Reference:
|
[3] J.M.G. Fell: A note on abstract measure.Pacific J. Math. 6 (1956), 43–45. Zbl 0071.05301, MR 0079075, 10.2140/pjm.1956.6.43 |
| Reference:
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[4] V. Ficker: Abstract formulation of the Lebesgue decomposition theorem.J. Austral. Math. Soc. 12 (1971), 101–105. Zbl 0203.35901, MR 0274692, 10.1017/S1446788700008375 |
| Reference:
|
[5] D.H. Fremlin: Topological Riesz spaces and measure theory.Cambridge University Press, 1974. Zbl 0273.46035, MR 0454575 |
| Reference:
|
[6] D.H. Fremlin: Decomposable measure spaces.Z. Wahrsch. Verv. Gebiete 45 (1978), 159–167. Zbl 0382.28001, MR 0510532, 10.1007/BF00715189 |
| Reference:
|
[7] R.J. Gardner and W.F. Pfeffer: Some undecidability results concerning Radon measures.Trans. Amer. Math. Soc. 259 (1980), 65–74. MR 0561823, 10.1090/S0002-9947-1980-0561823-3 |
| Reference:
|
[8] R.J. Gardner and W.F. Pfeffer: Decomposability of Radon measures.Trans. Amer. Math. Soc. 283 (1984), 283–293. MR 0735422, 10.1090/S0002-9947-1984-0735422-8 |
| Reference:
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[9] P.R. Halmos: Measure theory.Springer, New York, Heidelberg, Berlin, 1974. Zbl 0283.28001, MR 0453532 |
| Reference:
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[10] A. Ionescu Tulcea and C. Ionescu Tulcea: Topics in the theory of lifting.Springer, Berlin, Heidelberg, New York, 1969. MR 0276438 |
| Reference:
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[11] T. Jech: Set theory.Academic Press, New York, San Francisco, London, 1978. Zbl 0419.03028, MR 0506523 |
| Reference:
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[12] R.A. Johnson: On the Lebesgue decomposition theorem.Proc. Amer. Math. Soc. 18 (1967), 628–632. Zbl 0171.01702, MR 0218516, 10.1090/S0002-9939-1967-0218516-0 |
| Reference:
|
[13] Y. Kubokawa: A decomposition of measures and the Radon-Nikodym theorem.J. Saitama Univ., Fac. Educ. (Math. & Sci.) 41 (1992), 1–14. |
| Reference:
|
[14] Y. Kubokawa: Localizable non-measurable measures and the Radon-Nikodym theorem.. |
| Reference:
|
[15] Y. Kubokawa: Coverable Radon measures.In preparation. Zbl 0839.28007 |
| Reference:
|
[16] H. Luschgy and D. Mussmann: Equivalent properties and completion of statistical experiments.Sankhya Ser. A 47 (1985), 174–195. MR 0844018 |
| Reference:
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[17] R.V. Ramamoorthi and S. Yamada: On the union of compact statistical structures.Osaka J. Math. 20 (1983), 257–264. MR 0706234 |
| Reference:
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[18] L. Schwartz: Radon measures on arbitrary topological spaces and cylindrical measures.Oxford University Press, 1973. Zbl 0298.28001, MR 0426084 |
| Reference:
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[19] I.E. Segal: Equivalence of measure spaces.Amer. J. Math. 73 (1951), 275–313. MR 0041191, 10.2307/2372178 |
| Reference:
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[20] S. Ulam: Zur Masstheorie in der allgemeinen Mengenlehre.Fund. Math. 16 (1930), 140–150. 10.4064/fm-16-1-140-150 |
| Reference:
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[21] A. Volčič: Theoremi di decomposizione per misure localizzabili.Rend. Mat. (6)6 (1973), 307–336. MR 0344402 |
| . |
