Now showing items 1-3 of 3

    • Order continuous operators on pre-Riesz spaces and embeddings 

      Kalauch, Anke; Malinowski, Helena (European Mathematical Society, 2019)
      We investigate properties of order continuous operators on pre-Riesz spaces with respect to the embedding of the range space into a vector lattice cover or, in particular, into its Dedekind completion. We show that order ...
    • Pervasive and weakly pervasive pre-Riesz spaces 

      Kalauch, A.; Malinowski, H. (Elsevier, 2019)
      Pervasive pre-Riesz spaces are defined by means of vector lattice covers. To avoid the computation of a vector lattice cover, we give two distinct intrinsic characterizations of pervasive pre-Riesz spaces. We introduce ...
    • Vector lattice covers of ideals and bands in pre-Riesz spaces 

      Kalauch, Anke; Malinowski, Helena (Taylor & Francis, 2019)
      Pre-Riesz spaces are ordered vector spaces which can be orde r densely embedded into vector lattices, their so-called vector latt ice covers. Given a vector lattice cover Y for a pre-Riesz space X , ...