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arXiv:2404.04348 [math.FA]AbstractReferencesReviewsResources

On existence of hyperinvariant subspaces for quasinilpotent operators with a nonsymmetry in the growth of the resolvent

Maria F. Gamal'

Published 2024-04-05Version 1

Let $T$ be a quasinilpotent operator on a Banach space. Under assumptions of a certain nonsymmetry in the growth of the resolvent of $T$, it is proved that every operator in the commutant of $T$ is not unicellular. In particular, $T$ has nontrivial hyperinvariant subspaces. The proof is based on a modification of the reasoning of [S].

Categories: math.FA
Subjects: 47A10, 47A15, 47B01
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