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

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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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     author = {Yu. F. Korobeinik},
     title = {Some topics of the theory of linear topological spaces (completeness, non-trivial expansions of zero and their generators)},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {47--55},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a4/}
}
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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/