@article{MASLO_1981_31_1_a4,
author = {Capek, Peter},
title = {Decomposition theorems in measure theory},
journal = {Mathematica slovaca},
pages = {53--69},
year = {1981},
volume = {31},
number = {1},
mrnumber = {619507},
zbl = {0452.28002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1981_31_1_a4/}
}
Capek, Peter. Decomposition theorems in measure theory. Mathematica slovaca, Tome 31 (1981) no. 1, pp. 53-69. http://geodesic.mathdoc.fr/item/MASLO_1981_31_1_a4/
[1] NEUBRUNN T.: Зaмeчaниe oб aбcoлютнoй нeпpepывнocти мep. Russian Mat-fyz. Čas 16 1966, 21-30. | MR
[2] NEUBRUNN T.: On the equivalence of an exhaustion principle and the axiom of choìce. Fund. Math 60, 1967, 209-211. | MR
[3] BERBERIAN D. K.: Measure and integration. New York 1960.
[4] BROOKS S. K.: The Lebesgue decomposition theorem for measures. The Amer. Math. Month. 78, N. 6, 1971, 660-662. | MR
[5] CAPEK P.: Theorèmes de decomposition en theorie de la mesure I, II. Publications du Semin. d'Analyse de Brest, juin 1976. | MR
[6] CAPEK P.: Théorèmes de décomposition en theorie de la measuгe. R.A.S.P. t 25, 1967, Serie A-537
[7] ČERVEŇANSKY J., DRAVECKY J.: A note on Hahn decomposition. Acta F.R.N. Univ. Comen.- Mathematica XXV - 1971, 27-29. | Zbl
[8] FICKER V.: Dominated classes and related questions. Acta F.R.N. Univ. Comen.- Mathematica X, 7, 1966, 3-18. | MR | Zbl
[9] FICKER V.: An abstract formulation of the Lebesgue decomposition theorem. Aust. Math. Soc. 12, 1971, 101-105. | MR | Zbl
[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
[11] FUCHS L.: Partially ordered algebraic system. Pergamon Press 1963. | MR
[12] HAHN H., ROSENTHAL A.: Set functions. The University of New Mexico Pгess 1948. | MR | Zbl
[13] HALMOS P. R.: Measure theory. Van Nonstrand-New York 1950. | MR | Zbl
[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
[15] HOFFMANN-JѲRGENSEN J.: Vector measures. Math. Scand. 28, 1971, 5-32. | MR
[16] KLUVÁNEK I.: K тeopии вeктopныцx мep. Mat.-fyz. Čas. 11, 3, 1961.
[17] LIPECKI Z.: A characterization of group-valued measures satisfying the countable chain condition. Coll. Math. 31, 1974, 231-234. | MR | Zbl
[18] LIPECKI Z.: Decomposition theorems for Boolean rings, with applications to semigroup-valued measures. Commentationes Mathematicae. XX, 1978, 397-403. | MR | Zbl
[19] MUSIAL K.: Absolute continuity of vector measures. Coll. Math. 27, 1973, 319-321. | MR | Zbl
[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
[21] TRAYNOR T.: Decomposition of group-valued additive set functions. Ann. Inst. Fourier, Grenoble, 22, 3, 1972, 131-140. | MR | Zbl
[22] YAM TING WOO J.: An elementary proof of the Lebesgue decomposition theorem. The Ameг. Math. Monthly 78, 7, 1971, p. 783. | MR
[23] DOBRAKOV I.: On submeasures I. Disseгtationes Mathemat. CXII, 1974. | MR | Zbl
[24] Mme GODET-THOBIE C.: Multimesures et Multimesuгes de Tгansitions. Thèse. Montpellier. 1975.