Lattice norms on the unitization of a truncated normed Riesz space (Q2194080)

A truncated Riesz space is a nontrivial Riesz space \(E\) along with a truncation, i.e., a nonzero map \(x \to x^*\) from the positive cone \(E_+\) into \(E_+\) such that \(x^*\wedge y = x \wedge y^*\) for all \(x, y\in E_+\). A unitization norm on \(E\oplus \mathbb R\) is a lattice norm \({\|\cdot\|}_u\) extending the norm on \(E\) and such that \({\|1\|}_u = 1\). The authors describe various properties of truncation norms.