Invariant subspaces of non-associative algebras of compact operators.
by
Matthew Kennedy
University of Waterloo
Coauthors: Victor Shulman, Yuri Turovskii

Several classical results imply the (simultaneous) triangularizability of certain non-associative algebras of nilpotent matrices. These include Engel’s theorem for Lie algebras, and Jacobson’s generalization which applies to Jordan algebras. This talk is about recent extensions of these results to the setting of compact operators in infinite dimensions, which can be viewed as an application of a more general result about the existence of invariant subspaces for certain subgraded Lie algebras of compact operators.

Date received: April 25, 2008