Inner Product Spaces: Normal & Self Adjoint?

hitmeoff · May 31, 2010

An inner product space can be both normal and self adjoint, correct?

hitmeoff · Jun 1, 2010

Nevermind, but I got another question, since self-adjoint means that and I.P.S. is equal to it Adjoint, wouldn't all self-adjoint I.P.S. by default be normal?

HallsofIvy · Jun 1, 2010

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?

Inner Product Spaces: Normal & Self Adjoint?

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Inner Product Spaces: Normal & Self Adjoint?

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