On a band generated by a disjointness preserving orthogonally additive operator
The author investigates disjointness preserving orthogonally additive operators in vector lattices (Riesz spaces) and calculates the order projection in the space \(OA_{r}(E,F)\) of all regular orthogonally additive operators from a vector lattice \(E\) to a Dedekind complete vector lattice \(F\) onto the band \(\{T \}^{\perp \perp}\) of \(OA_{r}(E,F)\) generated by a disjointness preserving orthogonally additive operator \(T: E \rightarrow F\).
scientific article; zbMATH DE number 7357836
scientific article