Dissertação
Um estudo sobre pontos extremos em espaços de Banach
Fecha
2019-08-09Autor
Ramon Gustavo de Melo
Institución
Resumen
In this work are exhibited topological and geometric facts related to two Banach spaces
and its topological dual spaces. Moreover, the Krein-Milman Theorem and other statement
are applied in order to get two profits. The first of them is the finding of the set of extreme
points of the closed ball B[0, 1] of the dual space of three simple Banach spaces. The second
profit, in its turn, consists in a proof for the Banach-Stone Theorem