Invariant Subspaces for Derivations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1988Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 102, page 95 (issn: 0002-9939,

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Authors: Kissin, E. V.;

doi: 10.2307/2046038 , 10.1090/s0002-9939-1988-0915723-x

Invariant Subspaces for Derivations

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Abstract

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

Keywords

Invariant subspaces of linear operators, Abstract operator algebras on Hilbert spaces, Hermitian and normal operators (spectral measures, functional calculus, etc.), Commutators, derivations, elementary operators, etc., invariant subspaces

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