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math.OA2021
Relation and radical approach to the theory of C*-algebras
Edward Kissin, Victor S. Shulman, Yurii V. Turovskii
In this paper we pursue three aims. The first one is to apply Amitsur's relations and radicals theory to the study of the lattices Id_{A} of closed two-sided ideals of C*-algebras…
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…