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.
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.
@article{AIF_1977__27_1_83_0, author = {Kluv\'anek, Igor}, title = {Conical measures and vector measures}, journal = {Annales de l'Institut Fourier}, volume = {27}, year = {1977}, pages = {83-105}, doi = {10.5802/aif.643}, mrnumber = {57 \#9936}, zbl = {0311.28008}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1977__27_1_83_0} }
Kluvánek, Igor. Conical measures and vector measures. Annales de l'Institut Fourier, Tome 27 (1977) pp. 83-105. doi : 10.5802/aif.643. http://gdmltest.u-ga.fr/item/AIF_1977__27_1_83_0/
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