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arXiv · 1310.1539

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

Uwe Franz·Fumio Hiai
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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.

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Uwe Franz, Fumio Hiai. 2013-10-06. Conic structure of the non-negative operator convex functions on $(0,\infty)$. https://doi.org/10.15352/afa%2F1396833511

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