Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/119944 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/119944 |
| Access Level: | acceso abierto |
| Palabra clave: | Compact perturbations of normal operators Invariant subspaces Spectral subspaces Decomposable operators Análisis matemático 12 Matemáticas |
| Sumario: | We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias. |
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