Operators having Hermitian/Antihermitian part?

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SUMMARY

Any operator can indeed be decomposed into its Hermitian and Antihermitian parts. This is established through the formula X = (X + X†)/2 + (X - X†)/2, where X† denotes the adjoint of the operator X. The first term represents the Hermitian component, while the second term represents the Antihermitian component. This decomposition is fundamental in quantum mechanics and operator theory.

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Someone told me that any operator can be decomposed in a Hermitian and Antihermitian part. Is this true? How? By addition?
 
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[tex]X=\frac{X+X^\dagger}{2}+\frac{X-X^\dagger}{2}[/tex]
 
Of course!

thanks Fredrik
 

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