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Article

Title: The atoms of a countable sum of set functions (English)
Author: Capek, Peter
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 39
Issue: 1
Year: 1989
Pages: 81-89
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Category: math
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MSC: 28A10
MSC: 28A12
MSC: 28B10
idZBL: Zbl 0665.28003
idMR: MR1016334
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Date available: 2009-09-25T10:15:25Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130769
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Reference: [1] ARSTEIN Z.: Set valued measures.Trans. Amer. Math. Soc. 165, 1972, 103-121. MR 0293054
Reference: [2] BERBERIAN S. K.: Measure and Integration.New York 1965. Zbl 0126.08001, MR 0183839
Reference: [3] CAPEK P.: Théorèmes de décomposition en théorie de la mesure I. II.Publications du Séminaire ďAnalyse de Brest, juin 1976. MR 0470169
Reference: [4] CAPEK P.: Decomposition theorems in measure theory.Math. Slovaca 31, 1981, No. 1, 53-59. Zbl 0452.28002, MR 0619507
Reference: [5] CAPEK P.: The pathological infìnity of measures.Suppl. ai Rendiconti del Circolo Mat. Di Paleгmo. Série II-6, 1984. Zbl 0596.28001
Reference: [6] FICKER V.: On the equivalence of a countable disjoint class of sets of positive measure and a weaker condition than total σ-fìniteness of measures.Bull. Austral. Math. Soc. 1, 1969, 237-243. MR 0257310
Reference: [7] GODET-THOBIE C.: Multimesures et multimesures de transitions.Thèse. Montpellier. 1985.
Reference: [8] HAHN H., ROSENTHAL A.: Set Functions.The University of New Mexico Press 1948. Zbl 0033.05301, MR 0024504
Reference: [9] HIAI F.: Radon-Nikodym theorems for set-valued measures.Journal of Miltiv. Analysis 8, 1978, 96-118. Zbl 0384.28006, MR 0583862
Reference: [10] JOHNSON R. A.: Atomic and nonatomic measures.Proc. Amer. Math. Soc., 25, 1970, 650-655. Zbl 0201.06201, MR 0279266
Reference: [11] SIKORSKI R.: Boolean Algebras.Springer-Verlag 1969. Zbl 0191.31505, MR 0126393
Reference: [12] DREWNOWSKI L.: Additive and countably additive correspondences.Commentationes Mathem. XIX 1976. Zbl 0364.28014, MR 0422564
Reference: [13] CAPEK P.: Abstract comparison of the properties of infìnite measures.Acta Math. Univ. Comen. (to appear).
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