Characterizing Riesz* homomorphisms via interval preserving order adjoints
Abstract Riesz homomorphisms between vector lattices are characterized by interval preserving order adjoints. Buskes, van Rooij, and van Haandel generalized the notion of a Riesz homomorphism to linear maps between general ordered vector spaces. In this paper, we discuss how far the characterization between vector lattices extends to directed ordered vector spaces and pre-Riesz spaces.
Authors
- Anke Kalauch
- Janko Stennder (ORCID: https://orcid.org/0000-0003-2413-759X)
- Onno van Gaans
- Florian Boisen (ORCID: https://orcid.org/0009-0000-7632-6320)
Institutions
- Leiden University (NL)
- Technische Universität Dresden (DE)
Publication Details
- Journal
- Positivity
- Published
- 2025-05-08
- DOI
- https://doi.org/10.1007/s11117-025-01125-z
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Technische Universität Dresden