(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

||T|| = {max|T(x)| : |x|<=1} show this is equivalent to ||T|| = {max|T(x)| : |x| = 1}

3. The attempt at a solution

{max |T(x)| : x<=1} = {max ||x|| ||T(x/||x||)|| : |x|<=1} <= {max ||T(x)|| : |x| = 1}

does that look right? I need to show equality...

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# Norm of a linear transformation

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