Diagonal extendible multilinear operators between Lp-spaces
We study extendibility of diagonal multilinear operators from Lp to Lq spaces. We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on Lp.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/18917 |
| Acceso en línea: | http://hdl.handle.net/11336/18917 |
| Access Level: | acceso abierto |
| Palabra clave: | Multilinear Mappings Sequence Spaces Extension of Multilinear Operators https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study extendibility of diagonal multilinear operators from Lp to Lq spaces. We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on Lp. |
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