An integral formula for multiple summing norms of operators
We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stables measures. As an application we show inclusion and coincidence results for multiple summing mappings. We a...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/41796 |
| Acesso em linha: | http://hdl.handle.net/11336/41796 |
| Access Level: | acceso abierto |
| Palavra-chave: | Absolutely Summing Operators Multilinear Operators Multiple Summing Operators Stable Measures https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stables measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators. |
|---|