Exponentials of Normal Operators and Commutativity of Operators: A New Approach
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🧮 math.FA
math.OA
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operatorsapproachcommutativityexponentialsnormalberberianboundedcelebrated
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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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