Basu, Amitabh, Cornuéjols, Gérard and Zambelli, Giacomo (2011) Convex Sets and Minimal Sublinear Functions. Journal of Convex Analysis, 18 (2). pp. 427-432. ISSN 0944-6532
Full text not available from this repository.Abstract
We show that, given a closed convex set $K$ containing the origin in its interior, the support function of the set $\{y\in K^* \mid \mbox{ there exists } x\in K\mbox{ such that } \langle x,y \rangle =1\}$ is the pointwise smallest among all sublinear functions $\sigma$ such that $K=\{x \mid \sigma(x)\leq 1\}$.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.heldermann.de/ |
| Additional Information: | © 2011 Heldermann Verlag |
| Divisions: | Management |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 27 Jan 2011 11:58 |
| Last Modified: | 11 Dec 2024 23:52 |
| URI: | http://eprints.lse.ac.uk/id/eprint/31765 |
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