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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Dual norm of a max function [closed]

I am attempting to find the dual norm of $$\|(x,y)\|_K=\max\{|x|,|y|,|x-y|\}.$$ I have obtained $\|(x',y')\|_K^* = |x'|+|y'|$, but don't think that this is correct. I obtained this as follows : $$K = …
Troy W.'s user avatar