New formulas for the spectral radius via Aluthge transform

Published 20 Jun 2016 in math.FA and math.SP | (1606.06158v1)

Abstract: In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterates of Aluthge transformation, numerical radius and the asymptotic behavior of the powers of this operator. Also we obtain several characterizations of normaloid operators.

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