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Norms definitions

  1. Sep 23, 2008 #1
    1. The problem statement, all variables and given/known data

    [​IMG]


    I don't see why f(0) = 0 is necessary for E to be a norm. And what does f(0) has to with f being differentible?
     
  2. jcsd
  3. Sep 23, 2008 #2

    Dick

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    You didn't state your definition of norm. Does you definition include ||f||>0 if f is not 0? Think of the norm of a constant function.
     
  4. Sep 23, 2008 #3
    [​IMG]
     
  5. Sep 23, 2008 #4

    Dick

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    Fine. Check the 'definiteness' condition without the assumption f(0)=0.
     
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