Multiplier and averaging operators in the Banach spaces ces(p), 1<
[EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which of these multipliers is a compact operator. Moreove...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| 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:10251/160314 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/160314 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach sequence spaces ces(p) Multiplier Compact operator Cesaro operator Mean ergodic operator MATEMATICA APLICADA |
| Sumario: | [EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which of these multipliers is a compact operator. Moreover, for the case of p=q a complete description is presented of those (p,p)-multiplier operators which are mean (resp. uniform mean) ergodic. A study is also made of the linear operator C which maps a numerical sequence to the sequence of its averages. All pairs 1<p,q< are identified for which C maps ces(p) into ces(q) and, amongst this collection, those which are compact. For p=q, the mean ergodic properties of C are also treated. |
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