Triangularization of a Jordan algebra of Schatten operators

Kennedy, Matthew

doi:10.1090/S0002-9939-08-09295-2

Triangularization of a Jordan algebra of Schatten operators
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Proc. Amer. Math. Soc. 136 (2008), 2521-2527 Request permission

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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