A+ CATEGORY SCIENTIFIC UNIT

Exponentials of normal operators and commutativity of operators: a new approach

Volume 125 / 2011

Mohammed Hichem Mortad Colloquium Mathematicum 125 (2011), 1-6 MSC: Primary 47A10, 47A60. DOI: 10.4064/cm125-1-1

Abstract

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.

Authors

  • Mohammed Hichem MortadDépartement de Mathématiques
    Université d'Oran (Es-Senia)
    BP 1524, El Menouar
    Oran 31000, Algeria
    and
    BP 7085 Es-Seddikia
    Oran 31013, Algeria
    e-mail
    e-mail

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