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Densely defined operator?

  1. Mar 30, 2017 #1
    1. The problem statement, all variables and given/known data
    Let A and B be two unbounded operators, is what if A+B is densely defined then A and B are also densely defined?

    2. Relevant equations
    D(A+B)=D(A)∩D(B)

    3. The attempt at a solution
    Since A+B is densely defined then A and B are also densely defined because D(A+B)=D(A)∩D(B)
     
  2. jcsd
  3. Apr 4, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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