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<p>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 <i>n</i> and Riesz* homomorphisms coincide.</p>

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Mild Riesz* homomorphisms of higher degrees

  • 期刊论文

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  • 发表日期：

    2026年4月30日

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  • Florian Boisen

摘要

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.