Abstract
The g -barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that g -barrelledness is a multiplicative property, thus we obtain new examples of g -barrelled groups. We also prove that direct sums and inductive limits of g -barrelled locally quasi-convex groups are g -barrelled, too. Other permanence properties are considered as well.
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