NEW FORMULAS FOR THE SPECTRAL RADIUS VIA ...
Document type :
Pré-publication ou Document de travail
Title :
NEW FORMULAS FOR THE SPECTRAL RADIUS VIA ALUTHGE TRANSFORM
Author(s) :
Chabbabi, Fadil [Auteur]
Université de Lille, Sciences et Technologies
Mbekhta, Mostafa [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille, Sciences et Technologies
Mbekhta, Mostafa [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
HAL domain(s) :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Théorie spectrale [math.SP]
Mathématiques [math]/Théorie spectrale [math.SP]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
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Anglais
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