Geodesic
On some topological properties of countably additive cylindrical measures
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 1, pp. 211-215

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Let $E$ be a Hausdorff locally convex space, $E'$ denotes the topological dual space of $E$. Let $\lambda$ he a cylindrical measure on $E'$. We prove that for a wide class of locally convex spaces $E$ the measure $\lambda$ is countably additive iff $\lambda$ is cylindrically concentrated on the paving of polars of origin's neighbourhood in $E$. 
@article{TVP_1979_24_1_a23,
     author = {Yu. N. Vladimirskiǐ},
     title = {On some topological properties of countably additive cylindrical measures},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {211--215},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_1_a23/}
}
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Yu. N. Vladimirskiǐ. On some topological properties of countably additive cylindrical measures. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 1, pp. 211-215. http://geodesic.mathdoc.fr/item/TVP_1979_24_1_a23/