On existence of hyperinvariant subspaces for quasinilpotent operators with a nonsymmetry in the growth of the resolvent
| Autor: | Gamal', Maria F. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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]. |
| Databáze: | arXiv |
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