%0 Journal Article
%T Davis' Convexity Theorem and Extremal Ellipsoids
%A Matthias J. Weber
%A Hans-Peter Schr£¿cker
%J Mathematics
%D 2009
%I arXiv
%X We give a variety of uniqueness results for minimal ellipsoids circumscribing and maximal ellipsoids inscribed into a convex body. Uniqueness follows from a convexity or concavity criterion on the function used to measure the size of the ellipsoid. Simple examples with non-unique minimal or maximal ellipsoids conclude this article.
%U http://arxiv.org/abs/0907.1158v2