| Title:
|
Decomposition theorems in measure theory (English) |
| Author:
|
Capek, Peter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
53-69 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A12 |
| MSC:
|
28B10 |
| idZBL:
|
Zbl 0452.28002 |
| idMR:
|
MR619507 |
| . |
| Date available:
|
2009-09-25T09:11:51Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131066 |
| . |
| Reference:
|
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| Reference:
|
[2] NEUBRUNN T.: On the equivalence of an exhaustion principle and the axiom of choìce.Fund. Math 60, 1967, 209-211. MR 0232905 |
| Reference:
|
[3] BERBERIAN D. K.: Measure and integration.New York 1960. |
| Reference:
|
[4] BROOKS S. K.: The Lebesgue decomposition theorem for measures.The Amer. Math. Month. 78, N. 6, 1971, 660-662. MR 1536373 |
| Reference:
|
[5] CAPEK P.: Theorèmes de decomposition en theorie de la mesure I, II.Publications du Semin. d'Analyse de Brest, juin 1976. MR 0470169 |
| Reference:
|
[6] CAPEK P.: Théorèmes de décomposition en theorie de la measuгe.R.A.S.P. t 25, 1967, Serie A-537 |
| Reference:
|
[7] ČERVEŇANSKY J., DRAVECKY J.: A note on Hahn decomposition.Acta F.R.N. Univ. Comen.- Mathematica XXV - 1971, 27-29. Zbl 0228.28002 |
| Reference:
|
[8] FICKER V.: Dominated classes and related questions.Acta F.R.N. Univ. Comen.- Mathematica X, 7, 1966, 3-18. Zbl 0143.27301, MR 0202953 |
| Reference:
|
[9] FICKER V.: An abstract formulation of the Lebesgue decomposition theorem.Aust. Math. Soc. 12, 1971, 101-105. Zbl 0203.35901, MR 0274692 |
| Reference:
|
[10] FICKER V.: On the equivalence of a countable disjoint class of sets of positive measure and a weakeг condition than total $\sigma$-finiteness of measures.Bull. Austral. Math. Soc. 1 1979, 237-243. MR 0257310 |
| Reference:
|
[11] FUCHS L.: Partially ordered algebraic system.Pergamon Press 1963. MR 0171864 |
| Reference:
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[12] HAHN H., ROSENTHAL A.: Set functions.The University of New Mexico Pгess 1948. Zbl 0033.05301, MR 0024504 |
| Reference:
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[13] HALMOS P. R.: Measure theory.Van Nonstrand-New York 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
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[14] HERER. W.: Decomposition of measures with values in a topological group.Bull. de ľAcad Polon. des Sciences Séгie Math. Astron. et Phys. 20, 1972, 203-205. MR 0308357 |
| Reference:
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[15] HOFFMANN-JѲRGENSEN J.: Vector measures.Math. Scand. 28, 1971, 5-32. MR 0306438 |
| Reference:
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[16] KLUVÁNEK I.: K тeopии вeктopныцx мep.Mat.-fyz. Čas. 11, 3, 1961. |
| Reference:
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[17] LIPECKI Z.: A characterization of group-valued measures satisfying the countable chain condition.Coll. Math. 31, 1974, 231-234. Zbl 0271.28009, MR 0364595 |
| Reference:
|
[18] LIPECKI Z.: Decomposition theorems for Boolean rings, with applications to semigroup-valued measures.Commentationes Mathematicae. XX, 1978, 397-403. Zbl 0372.28015, MR 0519374 |
| Reference:
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[19] MUSIAL K.: Absolute continuity of vector measures.Coll. Math. 27, 1973, 319-321. Zbl 0262.46049, MR 0328020 |
| Reference:
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[20] MUSIAL K.: Absolute continuity and the range of group valued Vmeasures.Bull. Acad. Polon. Sci. Série Sci., Math., Astг. et Phys. 21, 1973, 105-113. MR 0349948 |
| Reference:
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[21] TRAYNOR T.: Decomposition of group-valued additive set functions.Ann. Inst. Fourier, Grenoble, 22, 3, 1972, 131-140. Zbl 0228.28004, MR 0333114 |
| Reference:
|
[22] YAM TING WOO J.: An elementary proof of the Lebesgue decomposition theorem.The Ameг. Math. Monthly 78, 7, 1971, p. 783. MR 0288226 |
| Reference:
|
[23] DOBRAKOV I.: On submeasures I.Disseгtationes Mathemat. CXII, 1974. Zbl 0292.28001, MR 0367140 |
| Reference:
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[24] Mme GODET-THOBIE C.: Multimesures et Multimesuгes de Tгansitions.Thèse. Montpellier. 1975. |
| . |
