Spectral dissection of finite rank perturbations of normal operators
Finite rank perturbations T = N + K of a bounded normal operator N on a separable Hilbert space are studied thanks to a natural functional model of T ; in its turn the functional model solely relies on a perturbation matrix/ characteristic function previously defined by the second author. Function t...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/731780 |
| Acesso em linha: | https://hdl.handle.net/10486/731780 https://dx.doi.org/10.7900/jot.2019jul21.2266 |
| Access Level: | acceso embargado |
| Palavra-chave: | Bishop’s property (β) decomposable operator functional model perturbation determinant normal operator Matemáticas |
| Resumo: | Finite rank perturbations T = N + K of a bounded normal operator N on a separable Hilbert space are studied thanks to a natural functional model of T ; in its turn the functional model solely relies on a perturbation matrix/ characteristic function previously defined by the second author. Function theoretic features of this perturbation matrix encode in a closed-form the spectral behavior of T . Under mild geometric conditions on the spectral measure of N and some smoothness constraints on K we show that the operator T admits invariant subspaces, or even it is decomposable |
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