Familles sommables dans les espaces vectoriels topologiques.
Michel Mazan (1982)
Revista Matemática Hispanoamericana
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Let E and F be two vector spaces in separating duality. Let us consider T, the uniform convergence topology on E on the partial sums of families of F which are weakly summable to 0 in F; then, if (E',T') is the completion of (E,T), the finest locally convex topology T on F for which all the weakly summable families in F are also T-summable, is the uniform convergence topology on the T'-compact subsets of E'. If F is a Banach space and E its dual space F', every weakly summable family...