Ellipsoids and matrix-valued valuations

被引：175
作者：
Ludwig, M [1 ]
机构：
[1] Vienna Tech Univ, Abt Anal, A-1040 Vienna, Austria
来源：
DUKE MATHEMATICAL JOURNAL | 2003年 / 119卷 / 01期
关键词：
D O I：
10.1215/S0012-7094-03-11915-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：159 / 188
页数：30
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