The weak convergence in hilbert spaces concept construction (revisited)
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-25T17:39:21ZPortal AgregadorONG |
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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1777304011151507456 |