- Epigraphical cones I Alberto Seeger(alberto.seegeruniv-avignon.fr) Abstract: Up to orthogonal transformation, a solid closed convex cone $K$ in the Euclidean space $\mathbb{R}^{n+1}$ is the epigraph of a nonnegative sublinear function $f:\mathbb{R}^n\to \mathbb{R}$. This work explores the link between the geometric properties of $K$ and the analytic properties of $f$. Keywords: Convex cone, epigraphical cone, sublinear function, inradius of a cone, solidity, pointedness, angular spectrum Category 1: Linear, Cone and Semidefinite Programming Citation: JOURNAL OF CONVEX ANALYSIS, 2011, in press. Download: [PDF]Entry Submitted: 01/21/2011Entry Accepted: 01/21/2011Entry Last Modified: 01/21/2011Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Programming Society.