Abstract
Given an arbitrary convex symmetric body 
, we construct a natural and non-trivial continuous map u
K
which associates ellipsoids to ellipsoids, such that the Löwner-John ellipsoid of K is its unique fixed point. A new characterization of the Löwner-John ellipsoid is obtained, and we also gain information regarding the contact points of inscribed ellipsoids with K.
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© 2004 Springer-Verlag Berlin/Heidelberg
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Klartag, B. (2004). On John-Type Ellipsoids. In: Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44489-3_14
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DOI: https://doi.org/10.1007/978-3-540-44489-3_14
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22360-3
Online ISBN: 978-3-540-44489-3
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