Longas l1-somas de espaços Lipschitz livres sobre espaços de Banach
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2023 |
| Tipo de documento: | Dissertação |
| Idioma: | por |
| Título da fonte: | Repositório Institucional da UNIFESP |
| Texto Completo: | https://repositorio.unifesp.br/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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Torres Guzmán, Héctor Hecsán [UNIFESP]http://lattes.cnpq.br/9952573187191900http://lattes.cnpq.br/6975165037874387Candido, Leandro [UNIFESP]2023-04-17T16:42:09Z2023-04-17T16:42:09Z2023-02-23https://repositorio.unifesp.br/11600/67384Este 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)77 f.porUniversidade Federal de São PauloEspaços 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/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame: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 texttext/plain89${dspace.ui.url}/bitstream/11600/67384/6/Master%20dissertation.pdf.txtf1cf5745017d60f6769030f3dbaf1b61MD56open accessTHUMBNAILMaster dissertation.pdf.jpgMaster dissertation.pdf.jpgIM 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InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestopendoar:34652023-10-15T04:01:29Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false |
| 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.authorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/9952573187191900 |
| dc.contributor.advisorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/6975165037874387 |
| 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.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| format |
masterThesis |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
https://repositorio.unifesp.br/11600/67384 |
| url |
https://repositorio.unifesp.br/11600/67384 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
77 f. |
| dc.publisher.none.fl_str_mv |
Universidade Federal de São Paulo |
| publisher.none.fl_str_mv |
Universidade Federal de São Paulo |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UNIFESP instname:Universidade Federal de São Paulo (UNIFESP) instacron:UNIFESP |
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Universidade Federal de São Paulo (UNIFESP) |
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