1988Proceedings of the American Mathematical SocietyRequires access

Invariant Subspaces for Derivations

E. V. Kissin

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Abstract

In this article it is proved that most of the known sufficient conditions for a subspace from Lat $\mathcal {A}$ to be hyperinvariant are in fact also sufficient for this subspace to be invariant for all operators from Ad $\mathcal {A}$.

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In this article it is proved that most of the known sufficient conditions for a subspace from Lat $\mathcal {A}$ to be hyperinvariant are in fact also sufficient for this subspace to be invariant for all operators from Ad $\mathcal {A}$.

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Available abstract

In this article it is proved that most of the known sufficient conditions for a subspace from Lat $\mathcal {A}$ to be hyperinvariant are in fact also sufficient for this subspace to be invariant for all operators from Ad $\mathcal {A}$.

Key concepts: Linear subspace, Invariant (physics), Invariant subspace, Subspace topology, Reflexive operator algebra, Mathematics, Pure mathematics, Invariant subspace problem

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