Contribuições à teoria multilinear de operadores absolutamente somantes

Detalhes bibliográficos
Autor(a) principal: BERNARDINO, Adriano Thiago Lopes
Data de Publicação: 2016
Tipo de documento: Tese
Idioma: por
Título da fonte: Repositório Institucional da UFPE
dARK ID: ark:/64986/0013000009r9b
Texto Completo: https://repositorio.ufpe.br/handle/123456789/17977
Resumo: 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.
id UFPE_762bef0162fb9fc6886c8d45b1406101
oai_identifier_str oai:repositorio.ufpe.br:123456789/17977
network_acronym_str UFPE
network_name_str Repositório Institucional da UFPE
repository_id_str 2221
spelling BERNARDINO, Adriano Thiago Lopeshttp://buscatextual.cnpq.br/buscatextual/busca.dohttp://buscatextual.cnpq.br/buscatextual/busca.doPELLEGRINO, Daniel Marinho2016-10-11T18:36:34Z2016-10-11T18:36:34Z2016-06-17https://repositorio.ufpe.br/handle/123456789/17977ark:/64986/0013000009r9bNeste 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.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.porUniversidade Federal de PernambucoPrograma de Pos Graduacao em MatematicaUFPEBrasilAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessAnálise.Análise funcional.Pellegrino.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 idealsContribuições à teoria multilinear de operadores absolutamente somantesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisdoutoradoreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPETHUMBNAILTese Adriano Thiago.pdf.jpgTese Adriano Thiago.pdf.jpgGenerated Thumbnailimage/jpeg1228https://repositorio.ufpe.br/bitstream/123456789/17977/5/Tese%20Adriano%20Thiago.pdf.jpg2aacb9787ffdf9795369f2cd79343808MD55ORIGINALTese Adriano Thiago.pdfTese Adriano Thiago.pdfapplication/pdf1085326https://repositorio.ufpe.br/bitstream/123456789/17977/1/Tese%20Adriano%20Thiago.pdf498b2bcfd47961466edce3360e11a858MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81232https://repositorio.ufpe.br/bitstream/123456789/17977/2/license_rdf66e71c371cc565284e70f40736c94386MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82311https://repositorio.ufpe.br/bitstream/123456789/17977/3/license.txt4b8a02c7f2818eaf00dcf2260dd5eb08MD53TEXTTese Adriano Thiago.pdf.txtTese Adriano Thiago.pdf.txtExtracted texttext/plain162528https://repositorio.ufpe.br/bitstream/123456789/17977/4/Tese%20Adriano%20Thiago.pdf.txte7e5ef7ac0c28cb6722801a64657607cMD54123456789/179772019-10-25 11:29:28.491oai:repositorio.ufpe.br:123456789/17977TGljZW7Dp2EgZGUgRGlzdHJpYnVpw6fDo28gTsOjbyBFeGNsdXNpdmEKClRvZG8gZGVwb3NpdGFudGUgZGUgbWF0ZXJpYWwgbm8gUmVwb3NpdMOzcmlvIEluc3RpdHVjaW9uYWwgKFJJKSBkZXZlIGNvbmNlZGVyLCDDoCBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkZSBQZXJuYW1idWNvIChVRlBFKSwgdW1hIExpY2Vuw6dhIGRlIERpc3RyaWJ1acOnw6NvIE7Do28gRXhjbHVzaXZhIHBhcmEgbWFudGVyIGUgdG9ybmFyIGFjZXNzw612ZWlzIG9zIHNldXMgZG9jdW1lbnRvcywgZW0gZm9ybWF0byBkaWdpdGFsLCBuZXN0ZSByZXBvc2l0w7NyaW8uCgpDb20gYSBjb25jZXNzw6NvIGRlc3RhIGxpY2Vuw6dhIG7Do28gZXhjbHVzaXZhLCBvIGRlcG9zaXRhbnRlIG1hbnTDqW0gdG9kb3Mgb3MgZGlyZWl0b3MgZGUgYXV0b3IuCl9fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fXwoKTGljZW7Dp2EgZGUgRGlzdHJpYnVpw6fDo28gTsOjbyBFeGNsdXNpdmEKCkFvIGNvbmNvcmRhciBjb20gZXN0YSBsaWNlbsOnYSBlIGFjZWl0w6EtbGEsIHZvY8OqIChhdXRvciBvdSBkZXRlbnRvciBkb3MgZGlyZWl0b3MgYXV0b3JhaXMpOgoKYSkgRGVjbGFyYSBxdWUgY29uaGVjZSBhIHBvbMOtdGljYSBkZSBjb3B5cmlnaHQgZGEgZWRpdG9yYSBkbyBzZXUgZG9jdW1lbnRvOwpiKSBEZWNsYXJhIHF1ZSBjb25oZWNlIGUgYWNlaXRhIGFzIERpcmV0cml6ZXMgcGFyYSBvIFJlcG9zaXTDs3JpbyBJbnN0aXR1Y2lvbmFsIGRhIFVGUEU7CmMpIENvbmNlZGUgw6AgVUZQRSBvIGRpcmVpdG8gbsOjbyBleGNsdXNpdm8gZGUgYXJxdWl2YXIsIHJlcHJvZHV6aXIsIGNvbnZlcnRlciAoY29tbyBkZWZpbmlkbyBhIHNlZ3VpciksIGNvbXVuaWNhciBlL291IGRpc3RyaWJ1aXIsIG5vIFJJLCBvIGRvY3VtZW50byBlbnRyZWd1ZSAoaW5jbHVpbmRvIG8gcmVzdW1vL2Fic3RyYWN0KSBlbSBmb3JtYXRvIGRpZ2l0YWwgb3UgcG9yIG91dHJvIG1laW87CmQpIERlY2xhcmEgcXVlIGF1dG9yaXphIGEgVUZQRSBhIGFycXVpdmFyIG1haXMgZGUgdW1hIGPDs3BpYSBkZXN0ZSBkb2N1bWVudG8gZSBjb252ZXJ0w6otbG8sIHNlbSBhbHRlcmFyIG8gc2V1IGNvbnRlw7pkbywgcGFyYSBxdWFscXVlciBmb3JtYXRvIGRlIGZpY2hlaXJvLCBtZWlvIG91IHN1cG9ydGUsIHBhcmEgZWZlaXRvcyBkZSBzZWd1cmFuw6dhLCBwcmVzZXJ2YcOnw6NvIChiYWNrdXApIGUgYWNlc3NvOwplKSBEZWNsYXJhIHF1ZSBvIGRvY3VtZW50byBzdWJtZXRpZG8gw6kgbyBzZXUgdHJhYmFsaG8gb3JpZ2luYWwgZSBxdWUgZGV0w6ltIG8gZGlyZWl0byBkZSBjb25jZWRlciBhIHRlcmNlaXJvcyBvcyBkaXJlaXRvcyBjb250aWRvcyBuZXN0YSBsaWNlbsOnYS4gRGVjbGFyYSB0YW1iw6ltIHF1ZSBhIGVudHJlZ2EgZG8gZG9jdW1lbnRvIG7Do28gaW5mcmluZ2Ugb3MgZGlyZWl0b3MgZGUgb3V0cmEgcGVzc29hIG91IGVudGlkYWRlOwpmKSBEZWNsYXJhIHF1ZSwgbm8gY2FzbyBkbyBkb2N1bWVudG8gc3VibWV0aWRvIGNvbnRlciBtYXRlcmlhbCBkbyBxdWFsIG7Do28gZGV0w6ltIG9zIGRpcmVpdG9zIGRlCmF1dG9yLCBvYnRldmUgYSBhdXRvcml6YcOnw6NvIGlycmVzdHJpdGEgZG8gcmVzcGVjdGl2byBkZXRlbnRvciBkZXNzZXMgZGlyZWl0b3MgcGFyYSBjZWRlciDDoApVRlBFIG9zIGRpcmVpdG9zIHJlcXVlcmlkb3MgcG9yIGVzdGEgTGljZW7Dp2EgZSBhdXRvcml6YXIgYSB1bml2ZXJzaWRhZGUgYSB1dGlsaXrDoS1sb3MgbGVnYWxtZW50ZS4gRGVjbGFyYSB0YW1iw6ltIHF1ZSBlc3NlIG1hdGVyaWFsIGN1am9zIGRpcmVpdG9zIHPDo28gZGUgdGVyY2Vpcm9zIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3UgY29udGXDumRvIGRvIGRvY3VtZW50byBlbnRyZWd1ZTsKZykgU2UgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgYmFzZWFkbyBlbSB0cmFiYWxobyBmaW5hbmNpYWRvIG91IGFwb2lhZG8gcG9yIG91dHJhIGluc3RpdHVpw6fDo28gcXVlIG7Do28gYSBVRlBFLMKgZGVjbGFyYSBxdWUgY3VtcHJpdSBxdWFpc3F1ZXIgb2JyaWdhw6fDtWVzIGV4aWdpZGFzIHBlbG8gcmVzcGVjdGl2byBjb250cmF0byBvdSBhY29yZG8uCgpBIFVGUEUgaWRlbnRpZmljYXLDoSBjbGFyYW1lbnRlIG8ocykgbm9tZShzKSBkbyhzKSBhdXRvciAoZXMpIGRvcyBkaXJlaXRvcyBkbyBkb2N1bWVudG8gZW50cmVndWUgZSBuw6NvIGZhcsOhIHF1YWxxdWVyIGFsdGVyYcOnw6NvLCBwYXJhIGFsw6ltIGRvIHByZXZpc3RvIG5hIGFsw61uZWEgYykuCg==Repositório InstitucionalPUBhttps://repositorio.ufpe.br/oai/requestattena@ufpe.bropendoar:22212019-10-25T14:29:28Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)false
dc.title.pt_BR.fl_str_mv Contribuições à teoria multilinear de operadores absolutamente somantes
title Contribuições à teoria multilinear de operadores absolutamente somantes
spellingShingle Contribuições à teoria multilinear de operadores absolutamente somantes
BERNARDINO, Adriano Thiago Lopes
Análise.Análise funcional.Pellegrino.
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
title_short Contribuições à teoria multilinear de operadores absolutamente somantes
title_full Contribuições à teoria multilinear de operadores absolutamente somantes
title_fullStr Contribuições à teoria multilinear de operadores absolutamente somantes
title_full_unstemmed Contribuições à teoria multilinear de operadores absolutamente somantes
title_sort Contribuições à teoria multilinear de operadores absolutamente somantes
author BERNARDINO, Adriano Thiago Lopes
author_facet BERNARDINO, Adriano Thiago Lopes
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://buscatextual.cnpq.br/buscatextual/busca.do
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://buscatextual.cnpq.br/buscatextual/busca.do
dc.contributor.author.fl_str_mv BERNARDINO, Adriano Thiago Lopes
dc.contributor.advisor1.fl_str_mv PELLEGRINO, Daniel Marinho
contributor_str_mv PELLEGRINO, Daniel Marinho
dc.subject.por.fl_str_mv Análise.Análise funcional.Pellegrino.
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
topic Análise.Análise funcional.Pellegrino.
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
description 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.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-10-11T18:36:34Z
dc.date.available.fl_str_mv 2016-10-11T18:36:34Z
dc.date.issued.fl_str_mv 2016-06-17
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio.ufpe.br/handle/123456789/17977
dc.identifier.dark.fl_str_mv ark:/64986/0013000009r9b
url https://repositorio.ufpe.br/handle/123456789/17977
identifier_str_mv ark:/64986/0013000009r9b
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
http://creativecommons.org/licenses/by-nc-nd/3.0/br/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
http://creativecommons.org/licenses/by-nc-nd/3.0/br/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.publisher.program.fl_str_mv Programa de Pos Graduacao em Matematica
dc.publisher.initials.fl_str_mv UFPE
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPE
instname:Universidade Federal de Pernambuco (UFPE)
instacron:UFPE
instname_str Universidade Federal de Pernambuco (UFPE)
instacron_str UFPE
institution UFPE
reponame_str Repositório Institucional da UFPE
collection Repositório Institucional da UFPE
bitstream.url.fl_str_mv https://repositorio.ufpe.br/bitstream/123456789/17977/5/Tese%20Adriano%20Thiago.pdf.jpg
https://repositorio.ufpe.br/bitstream/123456789/17977/1/Tese%20Adriano%20Thiago.pdf
https://repositorio.ufpe.br/bitstream/123456789/17977/2/license_rdf
https://repositorio.ufpe.br/bitstream/123456789/17977/3/license.txt
https://repositorio.ufpe.br/bitstream/123456789/17977/4/Tese%20Adriano%20Thiago.pdf.txt
bitstream.checksum.fl_str_mv 2aacb9787ffdf9795369f2cd79343808
498b2bcfd47961466edce3360e11a858
66e71c371cc565284e70f40736c94386
4b8a02c7f2818eaf00dcf2260dd5eb08
e7e5ef7ac0c28cb6722801a64657607c
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)
repository.mail.fl_str_mv attena@ufpe.br
_version_ 1815172771960848384

Registros relacionados