Weak compactness, transfinite Schauder bases and differentiability |
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Authors: | Sebastiá n Lajara |
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Affiliation: | Universidad de Castilla - La Mancha, Departamento de Matemáticas, Campus Universitario, Escuela Politécnica Superior, 02071 Albacete, Spain |
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Abstract: | We provide a characterization of the class of nonseparable Banach spaces that contain a nonseparable weakly compact set (respectively a relatively weakly compact transfinite basic sequence) in terms of differentiability properties of those spaces. |
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Keywords: | 46B26 46B20 54D30 |
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