# Hermitian operator

How do I show that an arbitrary operator A can be writte as A = B + iC where B and C are hermitian?

Rewrite A as follows:

$$A = \frac{(A+A^{\dagger})}{2} + \frac{(A-A^{\dagger})}{2}$$

Do you see why you can write A like that?
And can you carry on?

Last edited:
mathwonk