Summary
The idea of norms monotone in the nonnegative orthant is extended to partially ordered finite dimensional real spaces. Relations between the monotonicity of a norm and of the dual and the subordinate matrix norm are investigated.
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Barker, G.P. Monotone norms. Numer. Math. 18, 321–326 (1971). https://doi.org/10.1007/BF01404682
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DOI: https://doi.org/10.1007/BF01404682