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Spectral and numerical radius preservers on pairs of unitarily similar operators
Let $\mathcal{H}$ be a complex Hilbert space. We characterize the bijective linear maps $Φ:\mathcal{B}(\mathcal{H})\to\mathcal{B}(\mathcal{H})$ that preserve the spectral radius, respectively the numerical radius, on pairs of unitarily similar operators. We also characterize bijective linear maps th
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