On the construction of outer measures with values in a uniform semigroup

Alessandro Trombetta

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 3, page 263-269
  • ISSN: 0232-0525

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Trombetta, Alessandro. "On the construction of outer measures with values in a uniform semigroup." Mathematica Slovaca 55.3 (2005): 263-269. <http://eudml.org/doc/32170>.

@article{Trombetta2005,
author = {Trombetta, Alessandro},
journal = {Mathematica Slovaca},
keywords = {semigroup-valued function},
language = {eng},
number = {3},
pages = {263-269},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the construction of outer measures with values in a uniform semigroup},
url = {http://eudml.org/doc/32170},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Trombetta, Alessandro
TI - On the construction of outer measures with values in a uniform semigroup
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 3
SP - 263
EP - 269
LA - eng
KW - semigroup-valued function
UR - http://eudml.org/doc/32170
ER -

References

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  1. BOURBAKI N., Eléments de Mathématique, Topologie générale, Chapitres 1 à 4, Hermann, Paris, 1974. (1974) Zbl1107.54002MR0358652
  2. DE LUCIA P., Funzioni finitamente additive a valori in un gruppo topologico, Quaderni U.M.I., Pitagora, Bologna, 1984. (1984) 
  3. KELLEY J. L., General Topology, Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  4. SION M., Outer measures with values in a topological group, Proc. London Math. Soc. 19 (1969), 89 -106. (1969) Zbl0167.14503MR0239039
  5. SION M., A Theory of Semigroup Valued Measures, Lecture Notes in Math., Springer Verlag, Berlin, 1973. (1973) Zbl0312.28016MR0450503
  6. TRAYNOR T., A general Hewitt-Yosida decomposition, Canad. J. Math. 24 (1972), 1164 1169. (1972) Zbl0219.46034MR0315087
  7. TRAYNOR T., The Lebesgue decomposition for group-valued set functions, Trans. Amer. Math. Soc. 220 (1976), 307-319. (1976) Zbl0334.28010MR0419725
  8. TROMBETTA A., Sull'integrazione di funzioni a valori in semigruppi uniformi, Ph.D. Thesis, Università degli Studi di Napoli "Federico II", 2002. 
  9. WEBER H., Fortsstzung von Massen mit Werten in uniformen Halbgruppen, Arch. Math. (Basel) 27 (1976), 412-423. (1976) MR0425070

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