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Proceedings of the American Mathematical Society

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On normal operator exponentials


Author: Christoph Schmoeger
Journal: Proc. Amer. Math. Soc. 130 (2002), 697-702
MSC (2000): Primary 47A10, 47A60
DOI: https://doi.org/10.1090/S0002-9939-01-06123-8
Published electronically: June 20, 2001
MathSciNet review: 1866022
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Abstract:

Suppose that $A$ and $B$ are bounded normal operators on a complex Hilbert space and that $e^A e^B = e^B e^A$. In this paper some conditions implying $AB = BA$ are given.


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Additional Information

Christoph Schmoeger
Affiliation: Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Email: christoph.schmoeger@math-uni-karlsruhe.de

DOI: https://doi.org/10.1090/S0002-9939-01-06123-8
Keywords: Normal operators, exponentials
Received by editor(s): April 3, 2000
Received by editor(s) in revised form: August 20, 2000
Published electronically: June 20, 2001
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2001 American Mathematical Society