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Homework Help: Lipschitz property of norms

  1. Apr 8, 2012 #1
    1. The problem statement, all variables and given/known data
    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

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Apr 8, 2012 #2


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    Science Advisor

    You did read the rules for this forum didn't you? And so you know you are required to show your own attempt to solve it?
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