Lipschitz Property of Norms: Comparing α-norm and β-norm in ℝn

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Homework Statement


Hello friends,

i couldn't find a solution for the question below. Can you help me?

Thank you very much.

Let α-norm and β-norm be two different norms on ℝn. Show that f:ℝn->ℝm is Lipschitz in α-norm if and only if it is Lipschitz in β-norm


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