Bohnenblust-Hille inequalities: analytical and computational aspects

Detalhes bibliográficos
Autor(a) principal: CAVALCANTE,WASTHENNY V.
Data de Publicação: 2019
Outros Autores: PELLEGRINO,DANIEL M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000200201
Resumo: Abstract The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors. The present paper briefly surveys recent attempts to attack/solve this problem; it also presents new results, like connections with classical results of the linear theory of absolutely summing operators, and new perspectives.
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spelling Bohnenblust-Hille inequalities: analytical and computational aspectsBohnenblust-Hille inequalityHardy-Littlewood inequalityextreme pointsBanach spacesAbstract The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors. The present paper briefly surveys recent attempts to attack/solve this problem; it also presents new results, like connections with classical results of the linear theory of absolutely summing operators, and new perspectives.Academia Brasileira de Ciências2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000200201Anais da Academia Brasileira de Ciências v.91 suppl.1 2019reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201720170398info:eu-repo/semantics/openAccessCAVALCANTE,WASTHENNY V.PELLEGRINO,DANIEL M.eng2019-03-13T00:00:00Zoai:scielo:S0001-37652019000200201Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2019-03-13T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Bohnenblust-Hille inequalities: analytical and computational aspects
title Bohnenblust-Hille inequalities: analytical and computational aspects
spellingShingle Bohnenblust-Hille inequalities: analytical and computational aspects
CAVALCANTE,WASTHENNY V.
Bohnenblust-Hille inequality
Hardy-Littlewood inequality
extreme points
Banach spaces
title_short Bohnenblust-Hille inequalities: analytical and computational aspects
title_full Bohnenblust-Hille inequalities: analytical and computational aspects
title_fullStr Bohnenblust-Hille inequalities: analytical and computational aspects
title_full_unstemmed Bohnenblust-Hille inequalities: analytical and computational aspects
title_sort Bohnenblust-Hille inequalities: analytical and computational aspects
author CAVALCANTE,WASTHENNY V.
author_facet CAVALCANTE,WASTHENNY V.
PELLEGRINO,DANIEL M.
author_role author
author2 PELLEGRINO,DANIEL M.
author2_role author
dc.contributor.author.fl_str_mv CAVALCANTE,WASTHENNY V.
PELLEGRINO,DANIEL M.
dc.subject.por.fl_str_mv Bohnenblust-Hille inequality
Hardy-Littlewood inequality
extreme points
Banach spaces
topic Bohnenblust-Hille inequality
Hardy-Littlewood inequality
extreme points
Banach spaces
description Abstract The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors. The present paper briefly surveys recent attempts to attack/solve this problem; it also presents new results, like connections with classical results of the linear theory of absolutely summing operators, and new perspectives.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000200201
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000200201
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201720170398
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.91 suppl.1 2019
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
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institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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