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

Detalhes bibliográficos
Autor(a) principal: Ferreira, M. A. M.
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10071/9357
Resumo: The separation theorems are the key results for convex programming. They are important consequences of the Hahn-Theorem theorem. In this work begin to consider vector spaces, in general, then normed spaces and lastly Hilbert spaces. In the end, applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics are presented.
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spelling The vector space convex parts separation as a consequence of the Hahn-Banach theoremHahn-Banach theoremSeparation theoremsConvex programmingMinimax theoremThe separation theorems are the key results for convex programming. They are important consequences of the Hahn-Theorem theorem. In this work begin to consider vector spaces, in general, then normed spaces and lastly Hilbert spaces. In the end, applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics are presented.Progress IPS LLC2015-07-20T13:55:10Z2015-01-01T00:00:00Z20152019-05-03T17:29:02Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/9357eng2075-412410.7813/2075-4124.2015/7-3/A.1Ferreira, 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:RCAAP2024-07-07T02:51:10Zoai:repositorio.iscte-iul.pt:10071/9357Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:09:17.432187Repositórios 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 vector space convex parts separation as a consequence of the Hahn-Banach theorem
title The vector space convex parts separation as a consequence of the Hahn-Banach theorem
spellingShingle The vector space convex parts separation as a consequence of the Hahn-Banach theorem
Ferreira, M. A. M.
Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
title_short The vector space convex parts separation as a consequence of the Hahn-Banach theorem
title_full The vector space convex parts separation as a consequence of the Hahn-Banach theorem
title_fullStr The vector space convex parts separation as a consequence of the Hahn-Banach theorem
title_full_unstemmed The vector space convex parts separation as a consequence of the Hahn-Banach theorem
title_sort The vector space convex parts separation as a consequence of the Hahn-Banach theorem
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 Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
topic Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
description The separation theorems are the key results for convex programming. They are important consequences of the Hahn-Theorem theorem. In this work begin to consider vector spaces, in general, then normed spaces and lastly Hilbert spaces. In the end, applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics are presented.
publishDate 2015
dc.date.none.fl_str_mv 2015-07-20T13:55:10Z
2015-01-01T00:00:00Z
2015
2019-05-03T17:29:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/9357
url http://hdl.handle.net/10071/9357
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2075-4124
10.7813/2075-4124.2015/7-3/A.1
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 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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