Work

Mild Riesz* homomorphisms of higher degrees

Year: 2026

Type: article

Abstract: Riesz* homomorphisms on ordered vector spaces are characterized, intrinsically, via a condition on finite sets. As it is not sufficient to reduce to sets with at most two elements, mild Riesz* homomorphisms (of degree 2) were introduced and investigated. In this paper, we introduce mild Riesz* homomorphisms of higher degrees and generalize the results on mild Riesz* homomorphisms of degree 2 to this setting. We focus on order unit spaces and give sufficient conditions such that mild Riesz* homomorphism of degree n and Riesz* homomorphisms coincide.

Source: Positivity

DOI: 10.1007/s11117-026-01195-7

Author: Florian Boisen

Institution: Technische Universität Dresden

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