1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Very important
  1. Very important (Replies: 3)

  2. Very important (Replies: 16)

Loading...