An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators
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- by Hichem M. Mortad PDF
- Proc. Amer. Math. Soc. 131 (2003), 3135-3141 Request permission
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
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Additional Information
- Hichem M. Mortad
- Affiliation: School of Mathematics, University of Edinburgh, JCMB, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom
- Email: mortad@maths.ed.ac.uk
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3135-3141
- MSC (2000): Primary 47B15, 47B25
- DOI: https://doi.org/10.1090/S0002-9939-03-06883-7
- MathSciNet review: 1992854