Spectrum and compactness of the Cesàro operator on weighted l_p spaces
[EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight w, thereby extending known results for C when acting on the classical space...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/99862 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/99862 |
| Access Level: | acceso abierto |
| Palabra clave: | Cesàro operator Weighted l(p) space Spectrum Compact operator MATEMATICA APLICADA |
| Sumario: | [EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight w, thereby extending known results for C when acting on the classical spaces l_p. New features arise in the weighted setting (for example, existence of eigenvalues, compactness) which are not present in l_p. |
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