A NOTE ON A CHOQUET-DENY-TYPE THEOREM | Zendy

Márcia Sayuri Kashimoto | Zendy; João B. Prolla | Zendy

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A NOTE ON A CHOQUET-DENY-TYPE THEOREM

Author(s) -

Márcia Sayuri Kashimoto,

João B. Prolla

Publication year - 2006

Publication title -

bulletin of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.295

H-Index - 27

eISSN - 2234-3016

pISSN - 1015-8634

DOI - 10.4134/bkms.2006.43.4.861

Subject(s) - mathematics , convex cone , cone (formal languages) , type (biology) , closure (psychology) , regular polygon , identity (music) , choquet theory , danskin's theorem , pure mathematics , subderivative , discrete mathematics , convex optimization , brouwer fixed point theorem , fixed point theorem , algorithm , geometry , ecology , physics , economics , acoustics , market economy , biology

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.

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