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Domaine Numérique du produit AB avec A normal

Kaadoud, Mohamed Chraïbi (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 18B30, 47A12.Let A, B be two linear operators on a complex Hilbert space H. We extend a Bouldin's result (1969) conserning W(AB) - the numerical range of the product AB. We show, when AB = BA and A is normal, than W(AB).

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