Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Please dont' multiple post.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook