A NOTE ON A CHOQUET-DENY-TYPE THEOREM

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

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References

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