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On normal operator exponentials

Author(s): Christoph Schmoeger
Journal: Proc. Amer. Math. Soc. 130 (2002), 697-702.
MSC (2000): Primary 47A10, 47A60
Posted: June 20, 2001
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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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Ch. Schmoeger: Remarks on commuting exponentials in Banach algebras. Proc Amer. Math. Soc. 127 (1999), 1337-1338. MR 99h:46090

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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: 10.1090/S0002-9939-01-06123-8
PII: S 0002-9939(01)06123-8
Keywords: Normal operators, exponentials
Received by editor(s): April 3, 2000
Received by editor(s) in revised form: August 20, 2000
Posted: June 20, 2001
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2001, American Mathematical Society

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