English

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

Functional Analysis 2021-04-21 v2

Abstract

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

Keywords

Cite

@article{arxiv.1310.1539,
  title  = {Conic structure of the non-negative operator convex functions on $(0,\infty)$},
  author = {Uwe Franz and Fumio Hiai},
  journal= {arXiv preprint arXiv:1310.1539},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-22T01:41:06.100Z