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Triangularization of a Jordan algebra of Schatten operators
Author(s):
Matthew
Kennedy
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2521-2527.
MSC (2000):
Primary 47A15;
Secondary 17C65
Posted:
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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Additional Information:
Matthew
Kennedy
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email:
m3kennedy@uwaterloo.ca
DOI:
10.1090/S0002-9939-08-09295-2
PII:
S 0002-9939(08)09295-2
Received by editor(s):
February 15, 2007,
Received by editor(s) in revised form:
April 16, 2007
Posted:
February 7, 2008
Additional Notes:
This research was supported by NSERC
Communicated by:
Marius Junge
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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