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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Mizel, V. and Sundaresan, K., Banach sequence spaces, Arch. Math. 19 (1968), 59–69. Google Scholar

[2] 2. Anderson, C. L. and McKnight, C. K., Iterative sequential norms, Arch. Math. 23 (1972), 50–53. Google Scholar

[3] 3. Anderson, Charles. Gamma variätes of fractional shape as Junctionals of a homogeneous multidimensional Poisson process, Commun. Statist. -Simula. 17(3)(1988), 781–787. Google Scholar

[4] 4. Kennedy, William J. Jr. and James Gentle, E., Statistical computing. Marcel Dekker, New York, 1980. Google Scholar

[5] 5. Zahnen, A. C., Linear analysis. North-Holland, Amsterdam, 1964. Google Scholar

[6] 6. Ruckle, William, On the construction of sequence spaces that have Schauder bases, Can. J. of Math. 18 (1966), 1281–1293. Google Scholar

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