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Homework Help: Describe this null space!

  1. Nov 18, 2005 #1
    Let V denote the vectore space of continuously differentiable functions, ƒ, over the interval [0,1] such that ƒ(0)=0.
    Suppose Φ is-contained C∞ [0,1] (set of infinitely differentiable functions over the interval [0,1]) and define the operator
    TΦ:V→R:ƒ→∫ƒ'(x)Φ(x)dx 0,1
    Describe the null space of TΦ if Φ = x (Hint: integration by parts)
  2. jcsd
  3. Nov 19, 2005 #2


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    Please dont' multiple post.
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