On Stone-type extensions for group-valued measures

Antonio Boccuto

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 3, page 309-315
  • ISSN: 0139-9918

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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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  9. KATS M. P, On the continuation of vector measures, Sib. Math. J. 13 (1973), 802-809. (1973) 
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  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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