Triangularization of a Jordan Algebra of Schatten Operators
Operator Algebras
2010-01-20 v1
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.
Keywords
Cite
@article{arxiv.0708.0841,
title = {Triangularization of a Jordan Algebra of Schatten Operators},
author = {Matthew Kennedy},
journal= {arXiv preprint arXiv:0708.0841},
year = {2010}
}