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In mathematics, the spectral radius of a square matrix or a bounded linear operator is the supremum among the absolute values of the elements in its spectrum.

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Regarding spectral radius

Yes, see T. Ando, On hyponormal operators, Proc. Amer. Math. Soc. 14 (1963), 290-291. His main result states that $\|T^n\| = \|T\|^n$ for any hyponormal operator, which implies the conclusion by Gelfa …
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