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Proceedings of the American Mathematical Society

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Utility functions on partially ordered topological groups


Authors: Juan Carlos Candeal-Haro and Esteban Induráin Eraso
Journal: Proc. Amer. Math. Soc. 115 (1992), 765-767
MSC: Primary 90A10; Secondary 06F15, 28C10, 54F05
DOI: https://doi.org/10.1090/S0002-9939-1992-1116255-X
MathSciNet review: 1116255
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Abstract: Let $ (X, + ,\tau )$ be a locally compact abelian group endowed with a translation-invariant, strongly continuous, and separable strict partial ordering "$ < $." Then, there exists a continuous numerical representation for "$ < $." The proof leans on the concept of Haar measure.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1116255-X
Keywords: Topological group, translation-invariant partial ordering, Haar measure, utility function
Article copyright: © Copyright 1992 American Mathematical Society