On John-Type Ellipsoids
Metric Geometry
2007-05-23 v1 Functional Analysis
Abstract
Given an arbitrary convex symmetric n-dimensional body, we construct a natural and non-trivial continuous map which associates ellipsoids to ellipsoids, such that the Lowner-John ellipsoid of the body is its unique fixed point. A new characterization of the Lowner-John ellipsoid is obtained, and we also gain information regarding the contact points of inscribed ellipsoids with the body.
Cite
@article{arxiv.math/0312065,
title = {On John-Type Ellipsoids},
author = {B. Klartag},
journal= {arXiv preprint arXiv:math/0312065},
year = {2007}
}