Eigenvalue orbit under conjugation
= Eigenvalue orbit under conjugation
If conjugation sends an operator to its inverse, the conjugating element sends its $\lambda$-eigenspace to the $\lambda^{-1}$-eigenspace.
= Eigenvalue orbit under conjugation
If conjugation sends an operator to its inverse, the conjugating element sends its $\lambda$-eigenspace to the $\lambda^{-1}$-eigenspace.