Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/26471
Autoria: | Ferreira, M. A. M. |
Editor: | Le Bin Ho |
Data: | 2020 |
Título próprio: | Some considerations on orthogonality, strict separation theorems and applications in Hilbert spaces |
Título e volume do livro: | Hilbert spaces: Properties and applications |
Paginação: | 1 - 19 |
Título e número da coleção: | Mathematics research developments; |
Referência bibliográfica: | Ferreira, 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. http://hdl.handle.net/10071/26471 |
ISBN: | 978-1-53616-643-9 |
Palavras-chave: | Hilbert spaces Convex sets Projections Orthogonality Riesz representation theorem Kuhn-Tucker theorem Minimax theorem |
Resumo: | After 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. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | ISTAR-CLI - Capítulos de livros internacionais |
Ficheiros deste registo:
Ficheiro | Tamanho | Formato | |
---|---|---|---|
bookPart_61529.pdf | 313,84 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.