A characterization of the local dual spaces of a Banach space |
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| Authors: | Manuel Gonzá lez,Antonio Martí nez-Abejó n |
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| Affiliation: | a Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cantabria, E-39071 Santander, Spain
b Departamento de Matemáticas, Facultad de Ciencias, Universidad de Oviedo, E-33007 Oviedo, Spain |
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| Abstract: | A local dual of a Banach space X is a closed subspace of X∗ that satisfies the properties that the principle of local reflexivity assigns to X as a subspace of X∗∗. Here we introduce a technical property which characterizes the local dual spaces of a Banach space and allows us to show new examples of local dual spaces. |
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| Keywords: | Banach space Local reflexivity Ultrapower |
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