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Mild Riesz* homomorphisms of higher degrees
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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.
Title: Mild Riesz* homomorphisms of higher degrees
Description:
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.
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