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}, pages = {83--105}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {27}, number = {1}, year = {1977}, 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 -
Kluvánek, Igor. Conical measures and vector measures. Annales de l'Institut Fourier, Tome 27 (1977) no. 1, pp. 83-105. doi : 10.5802/aif.643. https://aif.centre-mersenne.org/articles/10.5802/aif.643/
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