Conical measures and vector measures
Kluvánek, Igor
Annales de l'Institut Fourier, Tome 27 (1977), p. 83-105 / Harvested from Numdam

Toute mesure conique sur un espace faible complet E est représentée comme l’intégration par rapport à une mesure complètement additive sur la σ-algèbre cylindrique. Le lien entre les mesures coniques sur E et les mesures abstraites à valeurs dans E donne des conditions suffisantes pour que la mesure représentante soit finie.

Every conical measure on a weak complete space E is represented as integration with respect to a σ-additive measure on the cylindrical σ-algebra in E. The connection between conical measures on E and E-valued measures gives then some sufficient conditions for the representing measure to be finite.

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     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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