On GLń(ℝ)-invariant classes of convex bodies

Semyon Alesker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)57-61
Number of pages5
Issue number1-2
StatePublished - 2003


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