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Inner Product Spaces

  1. May 31, 2010 #1
    An inner product space can be both normal and self adjoint, correct?
  2. jcsd
  3. Jun 1, 2010 #2
    Nevermind, but I got another question, since self-adjoint means that and I.P.S. is equal to it Adjoint, wouldnt all self-adjoint I.P.S. by default be normal?
  4. Jun 1, 2010 #3


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    I have no idea what you are talking about. "Self adjoint" applies to a linear operator on an inner product space, not to the space itself.

    Are you asking if "self-adjoint" and "normal" are the same for a linear operator on an inner product space?
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