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arXiv · 1205.2202

Exponentials of Normal Operators and Commutativity of Operators: A New Approach

Mohammed Hichem Mortad
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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 similarities results by Berberian and Embry as well as the celebrated Fuglede theorem.

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Mohammed Hichem Mortad. 2012-05-10. Exponentials of Normal Operators and Commutativity of Operators: A New Approach. https://doi.org/10.4064/cm125-1-1

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