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Operator + orthogonality

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data

    [​IMG]

    2. Relevant equations
    [​IMG]


    3. The attempt at a solution
    I know that C[a,b] is dense in L2[a,b] thus the equation holds also for f,g in L2.

    I'm stuck at the last step towards the J*. Can someone give me a hint?
     
  2. jcsd
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