Geodesic
On a probabilistic characterization of some classes of locally convex spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 521-532

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We prove that for a wide class of locally convex spaces the invertions of well-known theorems proved by R. A. Minlos and V. V. Sazonov are valid. The Muštari's criterion of the existence of necessary and sufficient (in the sence of A. M. Veršik and V. N. Sudakov) topology in a Banach space is generalized also. 
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     author = {Yu. N. Vladimirskiǐ},
     title = {On a probabilistic characterization of some classes of locally convex spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {521--532},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a6/}
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Yu. N. Vladimirskiǐ. On a probabilistic characterization of some classes of locally convex spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 521-532. http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a6/