CONIC STRUCTURE OF THE NON-NEGATIVE OPERATOR CONVEX FUNCTIONS ON (0, infinity)
Affiliation auteurs | Affiliation ok |
Titre | CONIC STRUCTURE OF THE NON-NEGATIVE OPERATOR CONVEX FUNCTIONS ON (0, infinity) |
Type de publication | Journal Article |
Year of Publication | 2014 |
Auteurs | Franz U, Hiai F |
Journal | ANNALS OF FUNCTIONAL ANALYSIS |
Volume | 5 |
Pagination | 158-175 |
Type of Article | Article |
ISSN | 2008-8752 |
Mots-clés | convex 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. |
DOI | 10.15352/afa/1396833511 |