CONIC STRUCTURE OF THE NON-NEGATIVE OPERATOR CONVEX FUNCTIONS ON (0, infinity)

Affiliation auteursAffiliation ok
TitreCONIC STRUCTURE OF THE NON-NEGATIVE OPERATOR CONVEX FUNCTIONS ON (0, infinity)
Type de publicationJournal Article
Year of Publication2014
AuteursFranz U, Hiai F
JournalANNALS OF FUNCTIONAL ANALYSIS
Volume5
Pagination158-175
Type of ArticleArticle
ISSN2008-8752
Mots-clésconvex cone, extreme ray, facial cone, operator convex function, Operator monotone function, simplicial cone
Résumé

The conic structure of the convex cone of non-negative operator convex functions on (0, infinity) (also on (-1, 1)) is clarified. We completely determine the extreme rays, the closed faces, and the simplicial closed faces of this convex cone.

DOI10.15352/afa/1396833511