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Weak compactness, transfinite Schauder bases and differentiability
Authors:Sebastiá  n Lajara
Affiliation:Universidad de Castilla - La Mancha, Departamento de Matemáticas, Campus Universitario, Escuela Politécnica Superior, 02071 Albacete, Spain
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.
Keywords:46B26   46B20   54D30
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