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 |
. |
Category:
|
math |
. |
MSC:
|
28A10 |
MSC:
|
28A12 |
MSC:
|
28B10 |
idZBL:
|
Zbl 0665.28003 |
idMR:
|
MR1016334 |
. |
Date available:
|
2009-09-25T10:15:25Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130769 |
. |
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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