Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A NOTE ON A CHOQUET-DENY-TYPE THEOREM

  • Kashimoto Marcia Sayuri ;
  • Prolla Joao Bosco
  • Published : 2006.11.30

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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