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A NOTE ON A CHOQUET-DENY-TYPE THEOREM
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 Title & Authors
A NOTE ON A CHOQUET-DENY-TYPE THEOREM
Kashimoto Marcia Sayuri; Prolla Joao Bosco;
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 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;
 Language
English
 Cited by
 References
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5.
H. A. Priestley, A Choquet-Deny theorem for affine functions on a Choquet simplex, Proc. Edinburgh Math. Soc. (2) 16 (1968), 325-327

6.
J. B. Prolla, The uniform closure of convex semi-lattices, Approximation, probability and related fields, 413-421, Plenum, New York, 1994

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