# On Supra-Additive and Supra-Multiplicative Maps

Authors: Jin Xi Chen; Zi Li Chen
Journal: Journal of Function Spaces and Applications
 (2013)

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## Abstract

LetA and B be ordered algebras over ℝ, where A has a generating positive cone and B satisfies the property that b2>0 if 0≠b∈B. We give some conditions for a map T:A→B which is supra-additive and supra-multiplicative for all positive and negative elements to be linear and multiplicative; that is, T is a homomorphism of algebras. Our results generalize some known results on supra-additive and supra-multiplicative maps between spaces of real functions.


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## Body


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