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On GLn(ℝ)-invariant classes of convex bodies
Published online by Cambridge University Press: 26 February 2010
Abstract
A generalization of the following two facts is proved: the class of generalized zonoids is dense in the class of convex compact bodies with a centre of symmetry, and the class of generalized triangle bodies is dense in the class of all convex compact bodies (proved by Schneider). The main result is deduced from a more general representation theoretical statement.
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- Research Article
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- Copyright © University College London 2003
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