Use this tag for questions concerning the notion of spectra in algebraic topology. Spectra are natural objects which arises when dealing with stable properties. For spectra of linear operators, please use the tag (spectral-theory) instead.
Questions tagged [spectra]
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hermitian operators with the same spectra
I want to prove that if two hermitian matrices say $H_1$ and $H_2$ have the same spectra, then one of them is conjugate of the other by some unitary matrix.
$$H_1 = U H_2 U^{\dagger}$$
Any idea?
