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dc.contributor.authorFerreira, M. A. M.-
dc.contributor.editorLe Bin Ho-
dc.identifier.citationFerreira, M. A. M. (2020). Some considerations on orthogonality, strict separation theorems and applications in Hilbert spaces. EM Le Bin Ho (Ed.). Hilbert spaces: Properties and applications (pp.1-19). Nova Science Publishers.
dc.description.abstractAfter presenting some structural notions on Hilbert spaces, which constitute fundamental support for this work, we approach the goals of thechapter. First,studyaboutconvexsets,projections,andorthogonality, whereweapproachtheoptimizationprobleminHilbertspaceswithsome generality. Then the approach to Riesz representation theorem in this field, important in the rephrasing of the separation theorems. Then we give a look to the strict separation theorems as well as to the main results of convex programming: Kuhn-Tucker theorem and minimax theorem. These theorems are very important in the applications. Moreover, the presented strict separation theorems and the Riesz representation theorem have key importance in the demonstrations of Kuhn-Tucker and minimax theorems and respective corollaries.eng
dc.publisherNova Science Publishers-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04466%2F2019/PT-
dc.relation.ispartofHilbert spaces: Properties and applications-
dc.relation.ispartofseriesMathematics research developments;-
dc.subjectHilbert spaceseng
dc.subjectConvex setseng
dc.subjectRiesz representation theoremeng
dc.subjectKuhn-Tucker theoremeng
dc.subjectMinimax theoremeng
dc.titleSome considerations on orthogonality, strict separation theorems and applications in Hilbert spaceseng
dc.event.locationNew Yorkeng
dc.pagination1 - 19-
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Ciências Físicaspor
iscte.subject.odsEducação de qualidadepor
iscte.subject.odsIndústria, inovação e infraestruturaspor
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