Borsich, TayomaraChasco, MJDomínguez, XabierMartín Peinador, Elena2024-02-012024-02-012019Borsich, 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.2019.01.016http://hdl.handle.net/2183/35328Versión aceptada de https://doi.org/10.1016/j.jmaa.2019.01.016[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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/G-barrelled groupBarrelled spaceReflexive groupMackey topologyPointwise convergence topologyEquicontinuous setjournal articleopen access10.1016/j.jmaa.2019.01.016