Real Banach Spaces with Numerical Index 1 |
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| Authors: | Lopez, Gines Martin, Miguel Paya, Rafael |
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| Affiliation: | Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071-Granada, Spain |
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| Abstract: | We show that an infinite-dimensional real Banach space withnumerical index 1 satisfying the RadonNikodym propertycontains l1. It follows that a reflexive or quasi-reflexivereal Banach space cannot be re-normed to have numerical index1, unless it is finite-dimensional. 1991 Mathematics SubjectClassification 46B20. |
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