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An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators

Author: Hichem M. Mortad
Journal: Proc. Amer. Math. Soc. 131 (2003), 3135-3141
MSC (2000): Primary 47B15, 47B25
Published electronically: January 2, 2003
MathSciNet review: 1992854
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Abstract: We prove that if we have two self-adjoint operators (bounded or not) and if their product is normal, then it is self-adjoint provided a certain condition is satisfied.

References [Enhancements On Off] (What's this?)

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  • 3. B. Fuglede, A Commutativity Theorem For Normal Operators, Proc. National Acad. Sci., 36 (1950) 35-40. MR 13:253d
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Additional Information

Hichem M. Mortad
Affiliation: School of Mathematics, University of Edinburgh, JCMB, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom

Received by editor(s): March 8, 2002
Received by editor(s) in revised form: April 30, 2002
Published electronically: January 2, 2003
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2003 American Mathematical Society

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