On properties of di erent notions of centers for convex cones

  title={On properties of di erent notions of centers for convex cones},
  author={Ren{\'e} Henrion and Alberto Seeger},
The points on the revolution axis of a circular cone are somewhat special: they are the “most interior” elements of the cone. This paper addresses the issue of formalizing the concept of center for a convex cone that is not circular. Four distinct proposals are studied in detail: the incenter, the circumcenter, the inner center, and the outer center. The discussion takes place in the context of a reflexive Banach space. 
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