Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach
| Ano de defesa: | 2023 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| dARK ID: | ark:/48912/0013000026f38 |
| Idioma: | por |
| Instituição de defesa: |
Universidade Federal de São Paulo
|
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Link de acesso: | https://repositorio.unifesp.br/handle/11600/67384 |
Resumo: | Este trabalho é dividido em duas partes. Na primeira parte, apresentamos uma introdução aos espaços de funções de Lipschitz e aos espaços Lipschitz livres, tendo como ênfase a geometria desses espaços. Na segunda parte, apresentamos os resultados obtidos na nossa pesquisa. Especificamente, demonstramos que o espaço Lipschitz livre sobre um espaço de Banach de densidade k é linearmente isomorfo à sua l1(k)-soma. Este resultado fornece uma generalização de um resultado prévio de Kaufmann no contexto de espaços de Banach não separáveis. |
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http://lattes.cnpq.br/6975165037874387Torres Guzmán, Héctor Hecsán [UNIFESP]http://lattes.cnpq.br/9952573187191900Candido, Leandro [UNIFESP]2023-04-17T16:42:09Z2023-04-17T16:42:09Z2023-02-23Este trabalho é dividido em duas partes. Na primeira parte, apresentamos uma introdução aos espaços de funções de Lipschitz e aos espaços Lipschitz livres, tendo como ênfase a geometria desses espaços. Na segunda parte, apresentamos os resultados obtidos na nossa pesquisa. Especificamente, demonstramos que o espaço Lipschitz livre sobre um espaço de Banach de densidade k é linearmente isomorfo à sua l1(k)-soma. Este resultado fornece uma generalização de um resultado prévio de Kaufmann no contexto de espaços de Banach não separáveis.This work is organized in two parts. First, we present an introduction to the spaces of Lipschitz functions and Lipschitz-free spaces, emphasizing the geometry of these spaces. Next, we present the results of our research. More precisely, we prove that the Lipschitz-free space over a Banach space of density k is linearly isomorphic to its l1(k)-sum. This provides an extension of a previous result from Kaufmann in the context of non-separable Banach spaces.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)leandro.candido@unifesp.br77 f.https://repositorio.unifesp.br/handle/11600/67384ark:/48912/0013000026f38porUniversidade Federal de São Pauloinfo:eu-repo/semantics/openAccessEspaços Lipschitz livresEspaços de funções de LipschitzEspaços de funções contínuasLongas l1-somas de espaços Lipschitz livres sobre espaços de BanachOn large l1-sums of Lipschitz-free spaces over Banach spacesinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersionreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPInstituto de Ciência e Tecnologia (ICT)Matemática Pura e AplicadaAnálise funcionalTEXTMaster dissertation.pdf.txtMaster dissertation.pdf.txtExtracted 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| dc.title.pt_BR.fl_str_mv |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| dc.title.alternative.pt_BR.fl_str_mv |
On large l1-sums of Lipschitz-free spaces over Banach spaces |
| title |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| spellingShingle |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach Torres Guzmán, Héctor Hecsán [UNIFESP] Espaços Lipschitz livres Espaços de funções de Lipschitz Espaços de funções contínuas |
| title_short |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| title_full |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| title_fullStr |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| title_full_unstemmed |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| title_sort |
Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach |
| author |
Torres Guzmán, Héctor Hecsán [UNIFESP] |
| author_facet |
Torres Guzmán, Héctor Hecsán [UNIFESP] |
| author_role |
author |
| dc.contributor.advisorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/6975165037874387 |
| dc.contributor.authorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/9952573187191900 |
| dc.contributor.author.fl_str_mv |
Torres Guzmán, Héctor Hecsán [UNIFESP] |
| dc.contributor.advisor1.fl_str_mv |
Candido, Leandro [UNIFESP] |
| contributor_str_mv |
Candido, Leandro [UNIFESP] |
| dc.subject.por.fl_str_mv |
Espaços Lipschitz livres Espaços de funções de Lipschitz Espaços de funções contínuas |
| topic |
Espaços Lipschitz livres Espaços de funções de Lipschitz Espaços de funções contínuas |
| description |
Este trabalho é dividido em duas partes. Na primeira parte, apresentamos uma introdução aos espaços de funções de Lipschitz e aos espaços Lipschitz livres, tendo como ênfase a geometria desses espaços. Na segunda parte, apresentamos os resultados obtidos na nossa pesquisa. Especificamente, demonstramos que o espaço Lipschitz livre sobre um espaço de Banach de densidade k é linearmente isomorfo à sua l1(k)-soma. Este resultado fornece uma generalização de um resultado prévio de Kaufmann no contexto de espaços de Banach não separáveis. |
| publishDate |
2023 |
| dc.date.accessioned.fl_str_mv |
2023-04-17T16:42:09Z |
| dc.date.available.fl_str_mv |
2023-04-17T16:42:09Z |
| dc.date.issued.fl_str_mv |
2023-02-23 |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| format |
masterThesis |
| status_str |
publishedVersion |
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