Every conical measure on a weak complete space is represented as integration with respect to a -additive measure on the cylindrical -algebra in . The connection between conical measures on and -valued measures gives then some sufficient conditions for the representing measure to be finite.
Toute mesure conique sur un espace faible complet est représentée comme l’intégration par rapport à une mesure complètement additive sur la -algèbre cylindrique. Le lien entre les mesures coniques sur et les mesures abstraites à valeurs dans donne des conditions suffisantes pour que la mesure représentante soit finie.
Kluvánek, Igor. Conical measures and vector measures. Annales de l'Institut Fourier, Volume 27 (1977) no. 1, pp. 83-105. doi: 10.5802/aif.643
@article{AIF_1977__27_1_83_0,
author = {Kluv\'anek, Igor},
title = {Conical measures and vector measures},
journal = {Annales de l'Institut Fourier},
pages = {83--105},
year = {1977},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {27},
number = {1},
doi = {10.5802/aif.643},
zbl = {0311.28008},
mrnumber = {57 #9936},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.643/}
}
TY - JOUR AU - Kluvánek, Igor TI - Conical measures and vector measures JO - Annales de l'Institut Fourier PY - 1977 SP - 83 EP - 105 VL - 27 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.643/ DO - 10.5802/aif.643 LA - en ID - AIF_1977__27_1_83_0 ER -
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