This is the same as show that if $T$ is an invertible operator and the inverse is $T^{-1}$, then the inverse of the adjoint of $T$ is the adjoint of the inverse of $T$.
I really have no clue at all. Thanks for your help guys!
2026-03-28 05:22:27.1774675347
How to show that $(T^*)^{-1}$ is the same as $(T^{-1})^*$?
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Hint: It's sufficient to prove that $(T^{-1})^*$ is an inverse of $T^*$.