Uniformly countably additive families of measures and group invariant measures.

Baltasar Rodríguez-Salinas

Collectanea Mathematica (1998)

  • Volume: 49, Issue: 1, page 97-111
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Rodríguez-Salinas, Baltasar. "Uniformly countably additive families of measures and group invariant measures.." Collectanea Mathematica 49.1 (1998): 97-111. <http://eudml.org/doc/41151>.

@article{Rodríguez1998,
abstract = {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.},
author = {Rodríguez-Salinas, Baltasar},
journal = {Collectanea Mathematica},
keywords = {Teoría de la medida; Grupo de invariancias; Adición; Uniformidad; Permutaciones; Mapas; invariant measures; uniform -additivity},
language = {eng},
number = {1},
pages = {97-111},
title = {Uniformly countably additive families of measures and group invariant measures.},
url = {http://eudml.org/doc/41151},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Rodríguez-Salinas, Baltasar
TI - Uniformly countably additive families of measures and group invariant measures.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 1
SP - 97
EP - 111
AB - 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.
LA - eng
KW - Teoría de la medida; Grupo de invariancias; Adición; Uniformidad; Permutaciones; Mapas; invariant measures; uniform -additivity
UR - http://eudml.org/doc/41151
ER -

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