Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591356 | Journal of Functional Analysis | 2009 | 15 Pages |
Abstract
We investigate the properties of bounded operators which satisfy a certain spectral additivity condition, and use our results to study Lie and Jordan algebras of compact operators. We prove that these algebras have nontrivial invariant subspaces when their elements have sublinear or submultiplicative spectrum, and when they satisfy simple trace conditions. In certain cases we show that these conditions imply that the algebra is (simultaneously) triangularizable.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory