Open Access
2014 Conic structure of the non-negative operator convex functions on $(0,\infty)$
Uwe Franz, Fumio Hiai
Ann. Funct. Anal. 5(2): 158-175 (2014). DOI: 10.15352/afa/1396833511

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.

Citation

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Uwe Franz. Fumio Hiai. "Conic structure of the non-negative operator convex functions on $(0,\infty)$." Ann. Funct. Anal. 5 (2) 158 - 175, 2014. https://doi.org/10.15352/afa/1396833511

Information

Published: 2014
First available in Project Euclid: 7 April 2014

zbMATH: 1305.60103
MathSciNet: MR3192018
Digital Object Identifier: 10.15352/afa/1396833511

Subjects:
Primary: 47A56
Secondary: 47A60

Keywords: convex cone , extreme ray , facial cone , operator convex function , operator monotone function , simplicial cone

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.5 • No. 2 • 2014
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