Self-Adjoint Operator

$A:A=A^{†}$, where $A^{†}$ is the Adjoint Operator. In particular, Self-Adjoint Operators are Symmetric Operator where the Domain of $A$ and of $A^{†}$ are equal.

Properties

• Hermitian Operators are Self-Adjoint
• In finite dimensional spaces, hermitian = symmetric = self-adjoint