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Author: Seeger, Alberto × Subject: central axis ×

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    On properties of different notions of centers for convex cones
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Henrion, René; Seeger, Alberto
    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.