• Krein’s theorem in the context of topological abelian groups 

      Borsich, Tayomara; Domínguez, Xabier; Martín Peinador, Elena (MDPI, 2022)
      [Abstract:] A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact. In this paper we prove that there exist ...
    • On g-barrelled groups and their permanence properties 

      Borsich, Tayomara; Chasco, MJ; Domínguez, Xabier; Martín Peinador, Elena (Elsevier, 2019)
      [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 ...
    • On the existence of topologies compatible with a group duality with predetermined properties 

      Borsich, Tayomara; Domínguez, Xabier; Martín Peinador, Elena (Elsevier, 2022)
      [Abstract:] The paper deals with group dualities. A group duality is simply a pair (G, H) where G is an abstract abelian group and H a subgroup of characters defined on G. A group topology τ defined on G is compatible with ...