Eigenvalues of Hermitian Operator have Orthogonal Eigenspaces
(Redirected from Eigenvalues of Self-Adjoint Operator have Orthogonal Eigenspaces)
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Theorem
The eigenvectors of a Hermitian operator have eigenspaces which are orthogonal.
Proof
Directly follows from Hermitian Operator is Normal and Eigenvalues of Normal Operator have Orthogonal Eigenspaces.
$\blacksquare$