Triangularization of a Jordan algebra of Schatten operators
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- by Matthew Kennedy
- Proc. Amer. Math. Soc. 136 (2008), 2521-2527
- DOI: https://doi.org/10.1090/S0002-9939-08-09295-2
- Published electronically: February 7, 2008
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Abstract:
We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.References
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Bibliographic Information
- Matthew Kennedy
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- MR Author ID: 836009
- Email: m3kennedy@uwaterloo.ca
- Received by editor(s): February 15, 2007
- Received by editor(s) in revised form: April 16, 2007
- Published electronically: February 7, 2008
- Additional Notes: This research was supported by NSERC
- Communicated by: Marius Junge
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2521-2527
- MSC (2000): Primary 47A15; Secondary 17C65
- DOI: https://doi.org/10.1090/S0002-9939-08-09295-2
- MathSciNet review: 2390522