Work

Characterizing Riesz* homomorphisms via interval preserving order adjoints

Year: 2025

Type: article

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.

Source: Positivity

DOI: 10.1007/s11117-025-01125-z

Authors: Florian Boisen, Anke Kalauch, Janko Stennder, Onno van Gaans

Institutions: Technische Universität Dresden, Leiden University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Technische Universität Dresden