Geodesic
Weakly measurable seminorms and sufficient topologies
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 2, pp. 453-458 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper for $F$-space $\Gamma$ with an unconditional basis, embeddable in $L^0$, a sufficient topology stronger than that known earlier is constructed in the space $\Gamma^*$. In the case when $\Gamma$ has a sign-invariant basis it is shown that the topology on $\Gamma^*$ generated by weakly measurable seminorms ($w$-measurable in the sense of Gross seminorms according to Mushtari and Chuprunov) is sufficient.
Mots-clés : admissible and sufficient topologies, S-spaces.
Keywords: weakly measurable seminorms, cylindrical measures 
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     author = {M. U. Khafizov},
     title = {Weakly measurable seminorms and sufficient topologies},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {453--458},
     year = {1995},
     volume = {40},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_2_a18/}
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M. U. Khafizov. Weakly measurable seminorms and sufficient topologies. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 2, pp. 453-458. http://geodesic.mathdoc.fr/item/TVP_1995_40_2_a18/