On the Dieudonné Theorem in Reflexive Banach Spaces |
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| Authors: | S Adly E Ernst M Théra |
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| Affiliation: | (1) LACO, Université de Limoges, 123, avenue A. Thomas, 87060 Limoges Cedex, France;(2) Casse 322, faculte de sciences et techniques de Saint Jerome, Laboratoire de modelisation en mecanique et thermodynamique (LMMT), avenue Escadrille Normandie-Niemen, 13397 Marseille Cedex 20 |
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| Abstract: | The converse part of the Dieudonné theorem on the closedness of the difference of two closed convex sets is establish. It is proved that, in a reflexive Banach setting, the sufficient conditions given by Dieudonné when applied for the weak topology, are also necessary. |
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| Keywords: | Dieudonné theorem reflexive Banach space weak topology |
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