Inner Product Spaces

  • Thread starter hitmeoff
  • Start date
  • #1
261
1
An inner product space can be both normal and self adjoint, correct?
 

Answers and Replies

  • #2
261
1
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?
 
  • #3
HallsofIvy
Science Advisor
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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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