Triangularization of a Jordan Algebra of Schatten Operators

Details Triangularization of a Jordan Algebra of Schatten Operators Triangularization of a Jordan Algebra of Schatten Operators

2007-08-06

arxiv.org/abs/0708.0841v1

Proc. Amer. Math. Soc. 136 (2008), no. 7, 2521-2527

Mathematics

Operator Algebras

Scientific paper

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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