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Abstract: A classi cation is obtained of Borel measurable, GL(n) covariant, symmetric matrix valued valuations on the space of n-dimensional convex polytopes. The only ones turn out to be the moment matrix corresponding to the classical Legendre ellipsoid and the matrix corresponding to the ellipsoid recently discovered by Lutwak, Yang, and Zhang. (Update)
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BibTeX entry: (Update)
M. Ludwig, Ellipsoids and matrix valued valuations, Duke Math. J. 119 (2003), 159--188. http://citeseer.ist.psu.edu/ludwig03ellipsoids.html More
@misc{ ludwig03ellipsoids,
author = "M. Ludwig",
title = "Ellipsoids and matrix valued valuations",
text = "M. Ludwig, Ellipsoids and matrix valued valuations, Duke Math. J. 119 (2003),
159--188.",
year = "2003",
url = "citeseer.ist.psu.edu/ludwig03ellipsoids.html" }
Citations (may not include all citations):144 Convex bodies: the Brunn{Minkowski theory (context) - Schneider - 1993
56 The volume of convex bodies and Banach space geometry (context) - Pisier - 1989
33 Cambridge University Press (context) - Gardner, tomography - 1995
28 Isotropic position and inertia ellipsoids and zonoids of the.. (context) - Milman, Pajor - 1989
25 Introduction to geometric probability (context) - Klain, Rota - 1997
11 ache und Isoperimetrie (context) - Hadwiger, uber et al. - 1957
9 Convexity and its applications (context) - McMullen, Schneider et al. - 1983
7 Asymptotic theory of nite-dimensional normed spaces (context) - Milman, Schechtman - 1986
6 Ane geometry of convex bodies (context) - Leichtwei - 1998
6 Information theoretic inequalities for contoured probability.. - Guleryuz, Lutwak et al. - 2002
5 A new ellipsoid associated with convex bodies - Lutwak, Yang et al. - 2000
5 The local theory of normed spaces and its applications to co.. (context) - Lindenstrauss, Milman - 1993
5 Blaschke-Santalo inequalities (context) - Lutwak, Zhang - 1997
5 Invariant valuations on star-shaped sets (context) - Klain - 1997
5 Star valuations and dual mixed volumes (context) - Klain - 1996
[Article contains additional citations not shown here]
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