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Homework Help: Very important

  1. Apr 29, 2008 #1
    Very important!!

    1. The problem statement, all variables and given/known data
    If A is an symmetric operator in separable hilbert space (H) and
    1)A>=0 (which means that (Ax, x)>=0 for any x)
    2)A(H) is a closed set

    How do you proove that [tex]\sqrt{A}(H)[/tex] is a closed set


    2. Relevant equations



    3. The attempt at a solution
    Facts that i know that might help..
    1)Square root of a symmetric operator is also symmetric
    2)[tex]\sqrt{A}(H)[/tex]>=0
     
  2. jcsd
  3. Apr 30, 2008 #2
    Is there another section that I should ask about the hw problems I have? I don't think any one of them was yet answered?
     
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