Monografia

O Teorema de Hahn-Banach e Aplicações

The work presents versions of the analytical form of the Hahn-Banach Theorem and some of its applications in functional analysis, addressing fundamental concepts of linear algebra and functional analysis. In addition to the analytical form of the theorem traditionally found in the literature, we...

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Autor principal: Teixeira, Lucas Mendes
Grau: Monografia
Idioma: pt_BR
Publicado em: Universidade Federal do Tocantins 2024
Assuntos:
Acesso em linha: http://hdl.handle.net/11612/6553
Resumo:
The work presents versions of the analytical form of the Hahn-Banach Theorem and some of its applications in functional analysis, addressing fundamental concepts of linear algebra and functional analysis. In addition to the analytical form of the theorem traditionally found in the literature, we study the Hahn-Banach Theorem in separable spaces and in Hilbert spaces, highlighting particular properties