A composition theorem for multiple summing operators
We prove that the composition S(u(1),..., u(n)) of a multilinear multiple 2-summing operator S with 2-summing linear operators u(j) is nuclear, generalizing a linear result of Grothendieck.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49448 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49448 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517 Multilinear operators Multiple p-summing operators Nuclear operators Análisis matemático 1202 Análisis y Análisis Funcional |
| Resumo: | We prove that the composition S(u(1),..., u(n)) of a multilinear multiple 2-summing operator S with 2-summing linear operators u(j) is nuclear, generalizing a linear result of Grothendieck. |
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