we have Â* = -AÂ. A

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Show that the eigenvalues of an anti-Hermitian linear bounded operator  :
H → H are either purely imaginary or equal to zero. Note that for anti-
Hermitian operators Â, we have A = -A.
Transcribed Image Text:Show that the eigenvalues of an anti-Hermitian linear bounded operator  : H → H are either purely imaginary or equal to zero. Note that for anti- Hermitian operators Â, we have A = -A.
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