IX: 11, 285-293, LNM 465 (1975)
ARTZNER, Philippe
Quelques résultats de décomposabilité en algèbre linéaire et en algèbre quadratique aléatoires (Miscellanea)
It is shown that if a random quadratic form on $R^4$ is a.s. of rank 3 and has an absolutely continuous law, then its law is indecomposable. To prove this, it is shown that the sum of two independent planes in $R^4$ cannot at the same time be a.s. a hyperplane and have an absolutely continuous law (with respect to the natural measure for hyperplanes)
Keywords: Independent random subspaces, Independent quadratic forms
Nature: Original
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