The Hahn Banach theorem in convex programming

Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an imp...

ver descrição completa

Detalhes bibliográficos
Autor principal: Ferreira, M. (author)
Formato: conferenceObject
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10071/25160
País:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/25160
Descrição
Resumo:Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an important tool in operations research, finance, management and economics.