The weak convergence in hilbert spaces concept construction (revisited)

Detalhes bibliográficos
Autor(a) principal: Ferreira, M. A. M.
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10071/18106
Resumo: We intend in this article critically review the weak convergence concept in the real Hilbert spaces domain. Indeed, the purpose is to review, correct and enlarge the paper by Ferreira (2014) on this subject, where is studied mainly its construction process. The main goal is to enlarge the Bolzano -Weierstrass theorem field of validity. Then it is discussed in which conditions weak convergence implies convergence.
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spelling The weak convergence in hilbert spaces concept construction (revisited)Hilbert spacesBolzano-Weierstrass theoremWeak convergenceWe intend in this article critically review the weak convergence concept in the real Hilbert spaces domain. Indeed, the purpose is to review, correct and enlarge the paper by Ferreira (2014) on this subject, where is studied mainly its construction process. The main goal is to enlarge the Bolzano -Weierstrass theorem field of validity. Then it is discussed in which conditions weak convergence implies convergence.Universum Research E-Center2019-05-22T15:25:35Z2019-01-01T00:00:00Z20192019-05-22T16:13:08Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/18106eng2410-9738Ferreira, M. A. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:20:18Zoai:repositorio.iscte-iul.pt:10071/18106Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:21:01.519213Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The weak convergence in hilbert spaces concept construction (revisited)
title The weak convergence in hilbert spaces concept construction (revisited)
spellingShingle The weak convergence in hilbert spaces concept construction (revisited)
Ferreira, M. A. M.
Hilbert spaces
Bolzano-Weierstrass theorem
Weak convergence
title_short The weak convergence in hilbert spaces concept construction (revisited)
title_full The weak convergence in hilbert spaces concept construction (revisited)
title_fullStr The weak convergence in hilbert spaces concept construction (revisited)
title_full_unstemmed The weak convergence in hilbert spaces concept construction (revisited)
title_sort The weak convergence in hilbert spaces concept construction (revisited)
author Ferreira, M. A. M.
author_facet Ferreira, M. A. M.
author_role author
dc.contributor.author.fl_str_mv Ferreira, M. A. M.
dc.subject.por.fl_str_mv Hilbert spaces
Bolzano-Weierstrass theorem
Weak convergence
topic Hilbert spaces
Bolzano-Weierstrass theorem
Weak convergence
description We intend in this article critically review the weak convergence concept in the real Hilbert spaces domain. Indeed, the purpose is to review, correct and enlarge the paper by Ferreira (2014) on this subject, where is studied mainly its construction process. The main goal is to enlarge the Bolzano -Weierstrass theorem field of validity. Then it is discussed in which conditions weak convergence implies convergence.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-22T15:25:35Z
2019-01-01T00:00:00Z
2019
2019-05-22T16:13:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/18106
url http://hdl.handle.net/10071/18106
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2410-9738
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universum Research E-Center
publisher.none.fl_str_mv Universum Research E-Center
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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