Let T be a linear operator on a complex inner product space V. How to prove that T is Hermitian if and only if <T(x),x> is real for all x in V. Dont really have any idea how to start. Any help would be appreciated. Thanks in advance.
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Originally Posted by firebio Let T be a linear operator on a complex inner product space V. How to prove that T is Hermitian if and only if <T(x),x> is real for all x in V. Dont really have any idea how to start. Any help would be appreciated. Thanks in advance. ; but in general, , so: is Hermitian ... end the argument. Tonio
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