Geodesic
Some topics of the theory of linear topological spaces (completeness, non-trivial expansions of zero and their generators)
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 47-55 
Yu. F. Korobeinik. Some topics of the theory of linear topological spaces (completeness, non-trivial expansions of zero and their generators). Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 47-55. http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The connection between the existence of non-trivial expansions of zero with respect to some system of elements in a separated linear topological space and the completeness of such systems is investigated. The notion of a generator of non-trivial expansions of zero with respect to the system $X$ is introduced and some sufficient conditions under which the element $x$ generates non-trivial expansions of zero with respect to certain systems of elements are found.

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