Browsing by Subject "Vector lattice cover"

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 ...

    • Projection bands and atoms in pervasive pre-Riesz spaces 

      Kalauch, Anke; Malinowski, Helena (Springer, 2020)
      In vector lattices, the concept of a projection band is a basic tool. We deal with projection bands in the more general setting of an Archimedean pre-Riesz space X. We relate them to projection bands in a vector lattice ...

    • 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 , ...