• On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups 

      Domínguez, Xabier; Tarieladze, Vaja (Elsevier, 2021)
      [Abstract] Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and results in the same property for X. This is true for instance if H is precompact, ...
    • Permutations, Signs, and Sum Ranges 

      Chobanyan, Sergei; Domínguez, Xabier; Tarieladze, Vaja; Vidal, Ricardo (MDPI, 2023)
      [Abstract:] The sum range SR[x; X], for a sequence x = (xn)n∈N of elements of a topological vector space X, is defined as the set of all elements s ∈ X for which there exists a bijection (=permutation) π : N → N, such that ...