• openAccess   A dichotomy property for locally compact groups 

      Ferrer González, María Vicenta; Hernández, Salvador; Tárrega Ruiz, Luis Elsevier (2018-08)
      We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...
    • openAccess   Homomorphic encoders of profinite abelian groups I 

      Ferrer, María V.; Hernández, Salvador Elsevier (2023-05)
      Let {Gi |i ∈ N} be a family of finite Abelian groups. We say that a subgroup G ≤ i∈N Gi is order controllable if for every i ∈ N there is ni ∈ N such that for each c ∈ G, there exists a ∈ G satisfying that a|[1,i] = ...
    • openAccess   Interpolation sets in spaces of continuous metric-valued functions 

      Ferrer González, María Vicenta; Hernández, Salvador; Tárrega Ruiz, Luis Elsevier (2018-10)
      Let X and K be a Cech-complete topological group and a compact group, ˇ respectively. We prove that if G is a non-equicontinuous subset of CHom(X; K), the set of all continuous homomorphisms of X into K, then there is a ...
    • openAccess   The weak compactification of locally compact groups 

      Ferrer, María V.; Hernández, Salvador Elsevier (2021)
      We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact ...