Uma introdução à álgebra de Lipschitz
The aim of this work is to introduce a study about Lipschitz algebra. Initially, we will approach the bounded Lipschitz functions, Lipschitz functions which preserve the base point and Arens-Ells space. Next, we will study the class of the 2-Lipschitz operators, which can be seen as a natural extens...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| 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:123456789/22424 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/123456789/22424 |
| Access Level: | acceso abierto |
| Palabra clave: | Funções Lipschitz Espaço de Arens-Eells Ideal de operadores 2- Lipschitz Lipschitz functions Arens-Eells space 2-Lipschitz operator ideals CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | The aim of this work is to introduce a study about Lipschitz algebra. Initially, we will approach the bounded Lipschitz functions, Lipschitz functions which preserve the base point and Arens-Ells space. Next, we will study the class of the 2-Lipschitz operators, which can be seen as a natural extension of the continuous bilinear operators for the Lipschitz context, and we wil present a method to obtain 2-Lipschitz operator ideals from linear operator ideals. At last, we will give some examples of 2-Lipschitz operator ideals. |
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