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 A note on a Choquet-Deny-type theorem Bull. Korean Math. Soc. 2006 Vol. 43, No. 4, 861-868 Published online December 1, 2006 Marcia Sayuri Kashimoto and Joao Bosco Prolla Universidade Federal de Itajuba, Universidade Estadual de Campinas Abstract : We present a Choquet-Deny-type theorem for downward filtering convex sets of continuous functions and show that the Identity Korovkin cone of a downward filtering convex cone $S$ is exactly the uniform closure of $S.$ Keywords : Choquet-Deny theorem, downward filtering set, convex cone, identity Korovkin cone MSC numbers : 41A65, 46A55 Downloads: Full-text PDF