Geodesic
A Characterization of the Minkowski Norms
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 12-14

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If n > 2 and M(m1,..., xn) is a symmetric norm of the form m(x1, m(x2, m{...)...), where m is a symmetric norm on R2, then m(x, y) = (|x|p + |y|p)1/p for some p ≥ 1 or else m(x, y) = max{|x|,|y|}.
DOI : 10.4153/CMB-1991-002-9
Mots-clés : 39B20, 46A45 
Anderson, C. L. A Characterization of the Minkowski Norms. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 12-14. doi: 10.4153/CMB-1991-002-9
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     title = {A {Characterization} of the {Minkowski} {Norms}},
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     year = {1991},
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     number = {1},
     doi = {10.4153/CMB-1991-002-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-002-9/}
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