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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On normal operator exponentials
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by Christoph Schmoeger PDF
Proc. Amer. Math. Soc. 130 (2002), 697-702 Request permission

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
  • 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
  • © Copyright 2001 American Mathematical Society
  • 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
  • MathSciNet review: 1866022