Publicação
The weak convergence in hilbert spaces concept construction (revisited)
| 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. |
|---|---|
| Autores principais: | Ferreira, M. A. M. |
| Assunto: | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | ISCTE |
| Idioma: | inglês |
| Origem: | Repositório ISCTE |
| _version_ | 1867301353215229952 |
|---|---|
| author | Ferreira, M. A. M. |
| author_facet | Ferreira, M. A. M. |
| author_role | author |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Ferreira, M. A. M.\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Ferreira, M. A. M. |
| datacite.date.Accepted.fl_str_mv | 2019-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2019-05-22T15:25:35Z |
| datacite.date.embargoed.fl_str_mv | 2019-05-22T15:25:35Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| datacite.titles.title.fl_str_mv | The weak convergence in hilbert spaces concept construction (revisited) |
| dc.creator.none.fl_str_mv | Ferreira, M. A. M. |
| dc.date.Accepted.fl_str_mv | 2019-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2019-05-22T15:25:35Z |
| dc.date.embargoed.fl_str_mv | 2019-05-22T15:25:35Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10071/18106 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Universum Research E-Center |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| dc.title.fl_str_mv | The weak convergence in hilbert spaces concept construction (revisited) |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| 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. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | iscte_ee1c0b629ebf4ddf20dabea6730bfa8d |
| identifier.url.fl_str_mv | http://hdl.handle.net/10071/18106 |
| instacron_str | iscte |
| institution | ISCTE |
| instname_str | ISCTE |
| language | eng |
| network_acronym_str | iscte |
| network_name_str | Repositório ISCTE |
| oai_identifier_str | oai:repositorio.iscte-iul.pt:10071/18106 |
| organization_str_mv | urn:organizationAcronym:iscte |
| person_str_mv | Ferreira, M. A. M. |
| publishDate | 2019 |
| publisher.none.fl_str_mv | Universum Research E-Center |
| reponame_str | Repositório ISCTE |
| repository_id_str | urn:repositoryAcronym:iscte |
| service_str_mv | urn:repositoryAcronym:iscte |
| spelling | engWe 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.application/pdfengUniversum Research E-CenterengThe weak convergence in hilbert spaces concept construction (revisited)Ferreira, M. A. M.Handlehttp://hdl.handle.net/10071/18106ISSNIsPartOf2410-97382019-05-22T15:25:35Z2019-01-01T00:00:00Z20192019-05-22T16:13:08Zhttp://purl.org/coar/access_right/c_abf2open accessengHilbert spacesengBolzano-Weierstrass theoremengWeak convergence349176 byteshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.iscte-iul.pt/bitstreams/12a87028-d401-4c65-b9ec-b3914751d9dd/downloadliteraturehttp://purl.org/coar/resource_type/c_6501journal article |
| spellingShingle | The weak convergence in hilbert spaces concept construction (revisited) Ferreira, M. A. M. Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| status | SINGLETON |
| subject.fl_str_mv | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| title | 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_short | The weak convergence in hilbert spaces concept construction (revisited) |
| title_sort | The weak convergence in hilbert spaces concept construction (revisited) |
| topic | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| topic_facet | Hilbert spaces Bolzano-Weierstrass theorem Weak convergence |
| url | http://hdl.handle.net/10071/18106 |
| visible | 1 |