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arXiv:1205.2202 [math.FA]AbstractReferencesReviewsResources

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

Mohammed Hichem Mortad

Published 2012-05-10Version 1

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.

Comments: 05 pages
Journal: Colloquium Mathematicum, 125 (2011), 1-6
Categories: math.FA, math.OA
Subjects: 47A10, 47A60
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