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math.OA2008
Invariant subspaces of subgraded Lie algebras of compact operators
Matthew Kennedy, Victor Shulman, Yuri Turovskii
We show that finitely subgraded Lie algebras of compact operators have invariant subspaces when conditions of quasinilpotence are imposed on certain components of the subgrading. T…
math.OA2008★ 2 cited
On algebras generated by inner derivations
Tatiana Shulman, Victor Shulman
We look for an effective description of the algebra D_{Lie}(X,B) of operators on a bimodule X over an algebra B, generated by inner derivations. It is shown that in some important…