On Stone-type extensions for group-valued measures

Antonio Boccuto

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 3, page 309-315
  • ISSN: 0232-0525

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Boccuto, Antonio. "On Stone-type extensions for group-valued measures." Mathematica Slovaca 45.3 (1995): 309-315. <http://eudml.org/doc/31627>.

@article{Boccuto1995,
author = {Boccuto, Antonio},
journal = {Mathematica Slovaca},
keywords = {-group valued measures; -additive measure extension; Stone space representation},
language = {eng},
number = {3},
pages = {309-315},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Stone-type extensions for group-valued measures},
url = {http://eudml.org/doc/31627},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Boccuto, Antonio
TI - On Stone-type extensions for group-valued measures
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 3
SP - 309
EP - 315
LA - eng
KW - -group valued measures; -additive measure extension; Stone space representation
UR - http://eudml.org/doc/31627
ER -

References

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  1. ALBUQUERQUE J., Ensembles de Borel, Portug. Math. 4 (1944), 161-198. (1944) Zbl0060.12801MR0013766
  2. ALIPRANTIS C. D., BURKINSHAW O., Locally Solid Riesz Spaces, Academic Press, New York, 1978. (1978) Zbl0402.46005MR0493242
  3. BERNAU S. J., Unique representation of Archimedean lattice groups and normal Archimedean lattice rings, Proc. London Math. Soc. 15 (1965), 599-631. (1965) MR0182661
  4. BOCCUTO A., CANDELORO D., Sull'estensione alla Stone per medie invarianti, Preprint. 
  5. CELADA P., Continuity properties of group-valued invariant measures, Preprint. Zbl0839.43003MR1338261
  6. FILTER W., Representation of Archimedean Riesz spaces - a survey, Preprint. MR1307578
  7. FREMLIN D. H., A direct proof of the Matthes-Wright integral extension theorem, J. London Math. Soc. 11 (1975), 276-284. (1975) Zbl0313.06016MR0380345
  8. HEWITT E., STROMBERG, K, Real and Abstract Analysis, Springer-Verlag, Berlin, 1965. (1965) Zbl0137.03202MR0367121
  9. KATS M. P, On the continuation of vector measures, Sib. Math. J. 13 (1973), 802-809. (1973) 
  10. LEBLANC L., FOX G. E., On the extension of measure by the method of Borel, Canad. J. Math. 8 (1956), 516-523. (1956) Zbl0073.27202MR0080132
  11. LOOMIS L. H., An Introduction to Abstract Harmonic Analysis, D. Van Nostrand Company, Inc., New York, 1953. (1953) Zbl0052.11701MR0054173
  12. LUXEMBURG W. A. J., ZAANEN A. C, Riesz Spaces. Vol. I, North-Holland Publishing Co., Amsterdam, 1971. (1971) Zbl0231.46014MR0511676
  13. SIKORSKI R., Boolean Algebras, Springer-Verlag, New York, 1960. (1960) Zbl0087.02503MR0126393
  14. SION M., Outer measures with values in a topological group, Proc. London Math. Soc. 19 (1969), 89-106. (1969) Zbl0167.14503MR0239039
  15. ŠIPOŠ J., Extension of partially ordered group-valued measure-like set functions, Časopis Pěst. Mat. 108 (1983), 113-121. (1983) MR0704058
  16. ŠIPOŠ J., On extension of group valued measures, Math. Slovaca 40 (1990), 279-286. (1990) Zbl0760.28007MR1094781
  17. VOLAUF P., Extension and regularity of l-group valued measures, Math. Slovaca 27 (1977), 47-53. (1977) MR0476989
  18. VOLAUF P., On the lattice group valued submeasures, Math. Slovaca 40 (1990), 407-411. (1990) Zbl0760.28008MR1120971
  19. WRIGHT J. D. M., Stone-algebra-valued measures and integrals, Proc. London Math. Soc. 19 (1969), 107-122. (1969) Zbl0186.46504MR0240276
  20. WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier 21 (1971), 65-85. (1971) Zbl0215.48101MR0330411
  21. WRIGHT J. D. M., An algebraic characterization of vector lattices with the Borel regularity property, J. London Math. Soc. 7 (1973), 277-285. (1973) Zbl0266.46036MR0333116

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