NEW FORMULAS FOR THE SPECTRAL RADIUS VIA ALUTHGE TRANSFORM

Fadil Chabbabi (1) , Mostafa Mbekhta (2)

1 Université de Lille, Sciences et Technologies
2 LPP - Laboratoire Paul Painlevé - UMR 8524

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.

Domaines: Analyse fonctionnelle [math.FA]; Théorie spectrale [math.SP]

Fadil Chabbabi, Mostafa Mbekhta. NEW FORMULAS FOR THE SPECTRAL RADIUS VIA ALUTHGE TRANSFORM. 2016. ⟨hal-01334044⟩