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The Hahn-Banach theorem and the separation of a vector space convex parts

Bibliographic Details
Main Author: Ferreira, Manuel Alberto M.
Publication Date: 2013
Other Authors: Andrade, M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://ciencia.iscte-iul.pt/public/pub/id/8503
http://hdl.handle.net/10071/9823
Summary: The main objective of this article is to present the separation theorems, important consequences of the Hahn-Theorem theorem. These results are the fundamentals of the convex optimization mathematical approach. Along this work begin to consider vector spaces, in general, then normed spaces and posteriorly Hilbert spaces. It ends with the presentation of applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics, for instance.
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spelling The Hahn-Banach theorem and the separation of a vector space convex partsHahn-Banach theoremSeparation theoremsConvex programmingMinimax theoremThe main objective of this article is to present the separation theorems, important consequences of the Hahn-Theorem theorem. These results are the fundamentals of the convex optimization mathematical approach. Along this work begin to consider vector spaces, in general, then normed spaces and posteriorly Hilbert spaces. It ends with the presentation of applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics, for instance.Progress IPS LLC2015-09-18T16:14:21Z2013-01-01T00:00:00Z20132015-09-18T16:12:56Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/8503http://hdl.handle.net/10071/9823eng2078-0257Ferreira, Manuel Alberto M.Andrade, M.info:eu-repo/semantics/embargoedAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:21:15Zoai:repositorio.iscte-iul.pt:10071/9823Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:21:38.650936Repositórios 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 Hahn-Banach theorem and the separation of a vector space convex parts
title The Hahn-Banach theorem and the separation of a vector space convex parts
spellingShingle The Hahn-Banach theorem and the separation of a vector space convex parts
Ferreira, Manuel Alberto M.
Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
title_short The Hahn-Banach theorem and the separation of a vector space convex parts
title_full The Hahn-Banach theorem and the separation of a vector space convex parts
title_fullStr The Hahn-Banach theorem and the separation of a vector space convex parts
title_full_unstemmed The Hahn-Banach theorem and the separation of a vector space convex parts
title_sort The Hahn-Banach theorem and the separation of a vector space convex parts
author Ferreira, Manuel Alberto M.
author_facet Ferreira, Manuel Alberto M.
Andrade, M.
author_role author
author2 Andrade, M.
author2_role author
dc.contributor.author.fl_str_mv Ferreira, Manuel Alberto M.
Andrade, M.
dc.subject.por.fl_str_mv Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
topic Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
description The main objective of this article is to present the separation theorems, important consequences of the Hahn-Theorem theorem. These results are the fundamentals of the convex optimization mathematical approach. Along this work begin to consider vector spaces, in general, then normed spaces and posteriorly Hilbert spaces. It ends with the presentation of applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics, for instance.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2015-09-18T16:14:21Z
2015-09-18T16:12:56Z
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 https://ciencia.iscte-iul.pt/public/pub/id/8503
http://hdl.handle.net/10071/9823
url https://ciencia.iscte-iul.pt/public/pub/id/8503
http://hdl.handle.net/10071/9823
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2078-0257
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Progress IPS LLC
publisher.none.fl_str_mv Progress IPS LLC
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
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
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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