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http://dx.doi.org/10.4134/BKMS.2006.43.4.861

A NOTE ON A CHOQUET-DENY-TYPE THEOREM  

Kashimoto Marcia Sayuri (DEPARTAMENTO DE MATEMATICAL E COMPUTACAO, UNIVERSIDADE FEDERAL DE ITAJUBA)
Prolla Joao Bosco (DEPARTAMENTO DE MATEMATICA-IMECC, UNIVERSIDADE ESTADUAL DE CAMPINAS)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 861-868 More about this Journal
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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