An extremal composition operator on the Hardy space of the bidisk with small approximation numbers
We construct an analytic self-map φ of the bidisk D2 whose image touches the distinguished boundary, but whose approximation numbers of the associated composition operator on H2(D2) are small in the sense that lim sup n-->[an2 (Cφ)]1/n<1.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182774 |
| Acceso en línea: | https://hdl.handle.net/11441/182774 https://doi.org/10.1016/j.jat.2019.105363 |
| Access Level: | acceso abierto |
| Palabra clave: | Approximation numbers Bidisk Composition operator Cusp map Distinguished boundary Hardy space |
| Sumario: | We construct an analytic self-map φ of the bidisk D2 whose image touches the distinguished boundary, but whose approximation numbers of the associated composition operator on H2(D2) are small in the sense that lim sup n-->[an2 (Cφ)]1/n<1. |
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