3 papers
math.FA2026
Truncation bands, unitality, and homomorphisms in truncated Riesz spaces: Boulabiar's problems and beyond
Mohamed Habibi, Hamza Hafsi
We answer three questions from Boulabiar's survey on truncated Riesz spaces. First, the truncation band projection property coincides with the principal projection property, with n…
math.FA2025
On the Transfer of Completeness and Projection Properties in Truncated Vector Lattices
Mohamed Habibi, Hamza Hafsi
In this work we investigate the transfer of fundamental order and completeness properties between truncated Riesz spaces and their unitizations. Specifically, we provide characteri…
math.FA2019
Lattice norms on the unitization of a truncated normed Riesz space
Karim Boulabiar, Hamza Hafsi
Truncated Riesz spaces was first introduced by Fremlin in the context of real-valued functions. An appropriate axiomatization of the concept was given by Ball. Keeping only the fir…