The atoms of a countable sum of set functions

Peter Capek

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 1, page 81-89
  • ISSN: 0232-0525

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Capek, Peter. "The atoms of a countable sum of set functions." Mathematica Slovaca 39.1 (1989): 81-89. <http://eudml.org/doc/32074>.

@article{Capek1989,
author = {Capek, Peter},
journal = {Mathematica Slovaca},
keywords = {semigroup valued measures; atomic measures},
language = {eng},
number = {1},
pages = {81-89},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The atoms of a countable sum of set functions},
url = {http://eudml.org/doc/32074},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Capek, Peter
TI - The atoms of a countable sum of set functions
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 1
SP - 81
EP - 89
LA - eng
KW - semigroup valued measures; atomic measures
UR - http://eudml.org/doc/32074
ER -

References

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  1. ARSTEIN Z., Set valued measures, Trans. Amer. Math. Soc. 165, 1972, 103-121. (1972) MR0293054
  2. BERBERIAN S. K., Measure and Integration, New York 1965. (1965) Zbl0126.08001MR0183839
  3. CAPEK P., Théorèmes de décomposition en théorie de la mesure I. II, Publications du Séminaire ďAnalyse de Brest, juin 1976. (1976) MR0470169
  4. CAPEK P., Decomposition theorems in measure theory, Math. Slovaca 31, 1981, No. 1, 53-59. (1981) Zbl0452.28002MR0619507
  5. CAPEK P., The pathological infìnity of measures, Suppl. ai Rendiconti del Circolo Mat. Di Paleгmo. Série II-6, 1984. (1984) Zbl0596.28001
  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. (1969) MR0257310
  7. GODET-THOBIE C., Multimesures et multimesures de transitions, Thèse. Montpellier. 1985. (1985) 
  8. HAHN H., ROSENTHAL A., Set Functions, The University of New Mexico Press 1948. (1948) Zbl0033.05301MR0024504
  9. HIAI F., Radon-Nikodym theorems for set-valued measures, Journal of Miltiv. Analysis 8, 1978, 96-118. (1978) Zbl0384.28006MR0583862
  10. JOHNSON R. A., Atomic and nonatomic measures, Proc. Amer. Math. Soc., 25, 1970, 650-655. (1970) Zbl0201.06201MR0279266
  11. SIKORSKI R., Boolean Algebras, Springer-Verlag 1969. (1969) Zbl0191.31505MR0126393
  12. DREWNOWSKI L., Additive and countably additive correspondences, Commentationes Mathem. XIX 1976. (1976) Zbl0364.28014MR0422564
  13. CAPEK P., Abstract comparison of the properties of infìnite measures, Acta Math. Univ. Comen. (to appear). 

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