Multiple summing operators on Banach spaces
In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach space of multiple p-summing multilinear forms. We also sh...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49480 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49480 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Mappings Banach spaces Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach space of multiple p-summing multilinear forms. We also show the failure of the inclusion theorem in this class of operators and improve some results of Y. Meléndez and A. Tonge about dominated multilinear operators. |
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