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A Characterization of the Minkowski Norms
Published online by Cambridge University Press: 20 November 2018
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|}.
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- Copyright © Canadian Mathematical Society 1991
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