2 papers
math.FA2024
Increasing sequences in ordered Banach spaces -- new theorems and open problems
Jochen Glück
An ordered Banach space is said to have the Levi property or to be regular if every increasing order bounded net (equivalently, sequence) is norm convergent. We prove four theo…
math.FA2018
A short note on band projections in partially ordered vector spaces
Jochen Glück
Consider an Archimedean partially ordered vector space with generating cone (or, more generally, a pre-Riesz space ). Let be a linear projection on such that both $P…