Ellipsoids and matrix-valued valuations
Ludwig, Monika
Duke Math. J., Tome 120 (2003) no. 3, p. 159-188 / Harvested from Project Euclid
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We obtain a classification 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 E. Lutwak, D. Yang, and G. Zhang.
Publié le : 2003-07-15
Classification:  52B45,  52B11 
@article{1082744708,
     author = {Ludwig, Monika},
     title = {Ellipsoids and matrix-valued valuations},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 159-188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082744708}
}

Ludwig, Monika. Ellipsoids and matrix-valued valuations. Duke Math. J., Tome 120 (2003) no. 3, pp.  159-188. http://gdmltest.u-ga.fr/item/1082744708/