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.
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.