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.

Printable View

- April 18th 2010, 05:53 PMfirebioInner product space proof question
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. - April 18th 2010, 06:39 PMtonio