Bidualização de espaços afins
Main concepts on a ne space are presented. Let X be an a ne space modelled on a vector space V and X? = A(X, R) be the a ne dual of X, that is, the vector space of all a ne maps from X to the real line. It is well known that in the case of a nite dimensional vector space V , the bidual V ∗∗ is...
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| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Brasil
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/26153 |
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| Resumo: | Main concepts on a ne space are presented. Let X be an a ne space modelled on a
vector space V and X? = A(X, R) be the a ne dual of X, that is, the vector space of all a ne
maps from X to the real line. It is well known that in the case of a nite dimensional vector
space V , the bidual V
∗∗ is isomorphic to V . We consider the vectorial bidual (X?
)
∗ of X and
an immersion of the a ne space X into its vectorial bidual. We present a discussion how to
de ne the a ne bidual X?? of X. |
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