Exponentials of Normal Operators and Commutativity of Operators: A New Approach
arXiv:1205.2202 · 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 similarities results by Berberian and Embry as well as the celebrated Fuglede theorem.
05 pages