Geodesic
Bounded generators in linear topological spaces
Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 105-109

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Ito and Seidman in [5] define a BG space as a locally convex space in whichthere exists a bounded set with a dense span. In this note we extend the idea to a class of not necessarily locally convex linear topological spaces (l.t.s.). We note the link between the idea of a BG space and Weston’s characterization in [7] of separable Banach spaces. Finally we examine σ-BG spaces; here the bounded set in the definition of a BG space is replaced by the union of a sequence of bounded sets. 
Iyahen, S. O. Bounded generators in linear topological spaces. Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 105-109. doi: 10.1017/S001708950000121X
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