Browsing Research Output by Subject "Pre-Riesz space"
Now showing items 1-4 of 4
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Order continuous operators on pre-Riesz spaces and embeddings
(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
(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 ... -
Projection bands and atoms in pervasive pre-Riesz spaces
(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
(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 , ...