Let $V$ be an inner product space and let $\alpha$ be an endomorphism of $V$. Is the endomorphism $\alpha^*\alpha - \sigma_1$ of $V$ self-adjoint?
Could anyone give me a hint on how to check this?
Let $V$ be an inner product space and let $\alpha$ be an endomorphism of $V$. Is the endomorphism $\alpha^*\alpha - \sigma_1$ of $V$ self-adjoint?
Could anyone give me a hint on how to check this?
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