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On the Measure of sets of parallel linear subspace in affine space

Demostració d’un teorema relacionat amb la mesura dels conjunts del subespai lineal paral·lel a l’espai afí

The aim of this paper is to prove the following theorem: “in order that sets of elements H composed by q parallel linear subspaces of dimensions h1, h2… Hq, which transform transitively by the unimodular affine group ʮ have an invariant measure with respect to ʮ, it is necessary and sufficient that the dimensions hi be all equal, h1 = h2 = h3 = … = hq = h, and that q = n + 1 – h”

Société mathématique du Canada

Autor: Santaló, Lluís
Data: 1962
Resum: Demostració d’un teorema relacionat amb la mesura dels conjunts del subespai lineal paral·lel a l’espai afí
The aim of this paper is to prove the following theorem: “in order that sets of elements H composed by q parallel linear subspaces of dimensions h1, h2… Hq, which transform transitively by the unimodular affine group ʮ have an invariant measure with respect to ʮ, it is necessary and sufficient that the dimensions hi be all equal, h1 = h2 = h3 = … = hq = h, and that q = n + 1 – h”
Format: application/pdf
ISSN: 0008-414X
Altres identificadors: Santaló, L. (1962). On the Measure of sets of parallel linear subspace in affine space. Canadian Journal of Mathematics, 14, 313-319
Accés al document: http://hdl.handle.net/10256.2/10122
Llenguatge: eng
Editor: Société mathématique du Canada
Drets: Tots els drets reservats
Títol: On the Measure of sets of parallel linear subspace in affine space
Tipus: info:eu-repo/semantics/article
Repositori: DUGiFonsEspecials

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