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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | PELLEGRINO, Daniel Marinho | - |
| dc.contributor.author | BERNARDINO, Adriano Thiago Lopes | - |
| dc.date.accessioned | 2016-10-11T18:36:34Z | - |
| dc.date.available | 2016-10-11T18:36:34Z | - |
| dc.date.issued | 2016-06-17 | - |
| dc.identifier.uri | https://repositorio.ufpe.br/handle/123456789/17977 | - |
| dc.description.abstract | Neste trabalho estudamos algumas extens˜oes do conceito de operadores multilineares absolutamente somantes, generalizamos alguns resultados conhecidos e respondemos parcialmente alguns problemas abertos. Para a classe das aplica¸c˜oes absolutamente (p; q; r)-somantes, obtemos alguns resultados de coincidˆencia e inclus˜ao e mostramos que o ideal de polinˆomios absolutamente (p; q; r)-somantes n˜ao ´e corente, de acordo com a no¸c˜ao de ideais coerentes devida a D. Carando, V. Dimant e S. Muro. Para contornar esta falha, introduzimos o conceito de aplica¸c˜oes m´ultiplo (p; q; r)-somantes e mostramos que, com essa nova abordagem, o ideal de polinˆomios m´ultiplo (p; q; r)- somantes ´e coerente e compat´ıvel com o ideal de operadores lineares absolutamente (p; q; r)-somantes. | pt_BR |
| dc.language.iso | por | pt_BR |
| dc.publisher | Universidade Federal de Pernambuco | pt_BR |
| dc.rights | openAccess | pt_BR |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Brazil | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/br/ | * |
| dc.subject | Análise.Análise funcional.Pellegrino. | pt_BR |
| dc.subject | Pietsch Composition theorem, ideal of multilinear mappings, ideal of polynomials, absolutely summing mappings, multiple summing mappings, dominated mappings, cotype and type of Banach spaces, coherent ideals, compatible ideals | pt_BR |
| dc.title | Contribuições à teoria multilinear de operadores absolutamente somantes | pt_BR |
| dc.type | doctoralThesis | pt_BR |
| dc.contributor.authorLattes | http://buscatextual.cnpq.br/buscatextual/busca.do | pt_BR |
| dc.publisher.initials | UFPE | pt_BR |
| dc.publisher.country | Brasil | pt_BR |
| dc.degree.level | doutorado | pt_BR |
| dc.contributor.advisorLattes | http://buscatextual.cnpq.br/buscatextual/busca.do | pt_BR |
| dc.publisher.program | Programa de Pos Graduacao em Matematica | pt_BR |
| dc.description.abstractx | In this work we investigate some extensions of the concept of absolutely summing operators, generalize some known results and provide partial answers to some open questions. For the class of absolutely (p; q; r)-summing mappings we obtain some inclusion and coincidence results and show that the ideal of absolutely (p; q; r)-summing polynomials is not coherent, according to the notion of coherent ideals due to D. Carando, V. Dimant and S. Muro. In order to bypass this deficiency, we introduce the concept of multiple (p; q; r)-summing multilinear and polynomial operators and show that, with this new approach, the ideal of multiple (p; q; r)-summing polynomials is coherent and compatible with the ideal of absolutely (p; q; r)-summing operators. | pt_BR |
| Appears in Collections: | Dissertações de Mestrado - Matemática | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Tese Adriano Thiago.pdf | 1.06 MB | Adobe PDF |  View/Open |
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