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Utility functions associated to relatively invariant measure on partially ordered locally compact groups

Akkouchi M.

Demonstratio Mathematica

2002

Vol. 35, nr 4

865-871

Let G be a topological locally compact group (abelian or not) endowed with a left Haar measure and a left translation-invariant and strongly continuous strict partial ordering -< . We consider a positive finite measure v on G, such that this order is v-separable. Then, we associate to each positive relatively invariant measure A on G a class of continuous numerical representations for the order -< .