Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts
It is shown that the invariant subspaces for the Bergman and Dirichlet shifts on the right half-plane correspond to the common invariant subspaces of the right shift operators on certain weighted Lebesgue spaces on the half-line. As a particular instance, the corresponding result for invariant subsp...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50587 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/50587 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Nvariant subspaces Shift operator Bergman spaces Dirichlet spaces Cyclic vectors Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | It is shown that the invariant subspaces for the Bergman and Dirichlet shifts on the right half-plane correspond to the common invariant subspaces of the right shift operators on certain weighted Lebesgue spaces on the half-line. As a particular instance, the corresponding result for invariant subspaces of multipliers induced by weak-star generators of H(infinity)(D) on weighted Bergman spaces of the unit disc is deduced. Finally, cyclic vectors for the Bergman and Dirichlet shifts are also studied. |
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