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arXiv · 0708.0841

Triangularization of a Jordan Algebra of Schatten Operators

Matthew Kennedy
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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.

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Matthew Kennedy. 2007-08-06. Triangularization of a Jordan Algebra of Schatten Operators. https://arxiv.org/abs/0708.0841

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