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A Characterization of the Minkowski Norms

Published online by Cambridge University Press:  20 November 2018

C. L. Anderson
C. L. Anderson*
Affiliation:
Department of Statistics University Southwestern Louisiana Lafayette, Louisiana 70504-1010 USA
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Abstract

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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|}.

Keywords

39B2046A45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 12 - 14
Copyright
Copyright © Canadian Mathematical Society 1991

References

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