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http://hdl.handle.net/2183/35328 On g-barrelled groups and their permanence properties
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Borsich, T., Chasco, M. J., Domínguez, X., & Martín-Peinador, E. (2019). On g-barrelled groups and their permanence properties. Journal of Mathematical Analysis and Applications, 473(2), 1203-1214. https://doi.org/10.1016/j.jmaa.2019.01.016
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[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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Atribución-NoComercial-SinDerivadas 3.0 España
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