A note on the equation λ * ρ * μ = ρ

Publisher: Cambridge University Press

E-ISSN: 1755-1633|59|3|421-426

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.59, Iss.3, 1999-06, pp. : 421-426

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Abstract

Let G be a Hausdorff topological group and μ and λ be probability measures on G. We prove necessary and sufficient conditions for the existence of a probability measure ρ such that λ * ρ * μ = ρ under certain conditions. We prove a similar result for probability measures on semigroups.