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Positive non self adjoint operator?

  1. Dec 20, 2009 #1
    1. The problem statement, all variables and given/known data
    Find an operator T on F^2 such that <T(v),v> is greater than or equal to 0 for all v in F^2, but T is not self-adjoint

    2. Relevant equations

    3. The attempt at a solution
    I am trying to to find examples where <T(v),v>=0 where the operator is not 0
  2. jcsd
  3. Dec 20, 2009 #2


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    Homework Helper

    Think about rotations.
  4. Dec 20, 2009 #3


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    Gold Member

    Can't you use algebra to solve for all possible values of T?
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