Geodesic
Exponentials of normal operators and commutativity of operators: a new approach
Mohammed Hichem Mortad1
1 Département de Mathématiques Université d'Oran (Es-Senia) BP 1524, El Menouar Oran 31000, Algeria and BP 7085 Es-Seddikia Oran 31013, Algeria
Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 1-6.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
DOI : 10.4064/cm125-1-1
Keywords: present approach question commutativity operator exponentials implies operators proved setting bounded normal operators complex hilbert space proofs based results similarities berberian embry celebrated fuglede theorem

Mohammed Hichem Mortad 1

1 Département de Mathématiques Université d'Oran (Es-Senia) BP 1524, El Menouar Oran 31000, Algeria and BP 7085 Es-Seddikia Oran 31013, Algeria 
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Mohammed Hichem Mortad. Exponentials of normal operators and commutativity of operators: a new approach. Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 1-6. doi : 10.4064/cm125-1-1. http://geodesic.mathdoc.fr/articles/10.4064/cm125-1-1/

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