Conic structure of the non-negative operator convex functions on $(0,\infty )$

Abstract

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

18 pages

References in corpus (1)

• Operator log-convex functions and operator means

Cited by in corpus (1)

• Operator maps of Jensen-type