The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.
@article{urn:eudml:doc:41151,
title = {Uniformly countably additive families of measures and group invariant measures.},
journal = {Collectanea Mathematica},
volume = {49},
year = {1998},
pages = {97-111},
zbl = {0943.28018},
mrnumber = {MR1629754},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41151}
}
Rodríguez-Salinas, Baltasar. Uniformly countably additive families of measures and group invariant measures.. Collectanea Mathematica, Tome 49 (1998) pp. 97-111. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41151/