Um índice de somabilidade para pares de espaços de Banach
In this work, we study the notion of index of summability for pairs of Banach spaces. This index plays the role of a kind of “measure” of how the space of m-homogeneous polynomials from E to F (or the space of multilinear operators of E1×···×Em to F) are far from being the space of absolutely summin...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Brasil |
| Institución: | Universidade Federal da Paraíba (UFPB) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufpb.br:tede/9814 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/tede/9814 |
| Access Level: | acceso abierto |
| Palabra clave: | Polinômios absolutamente somantes Operadores multilineares absoluta Mente somantes Espaços de Banach Índice de somabilidade Absolutely summing polynomials Absolutely summing multilinear operators Banach spaces Index of summability CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this work, we study the notion of index of summability for pairs of Banach spaces. This index plays the role of a kind of “measure” of how the space of m-homogeneous polynomials from E to F (or the space of multilinear operators of E1×···×Em to F) are far from being the space of absolutely summing m-homogeneous polynomials (or with the space of multiple summing multilinear operators). In some cases the optimal index of summability is presented. |
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