Operators having Hermitian/Antihermitian part?

[afrano]

Someone told me that any operator can be decomposed in a Hermitian and Antihermitian part. Is this true? How? By addition?

 

[Fredrik]

$$X=\frac{X+X^\dagger}{2}+\frac{X-X^\dagger}{2}$$

 

[afrano]

Of course!

thanks Fredrik