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A characterization of reflexive Banach spaces |
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| Authors: | Eva Matousková Charles Stegall |
| Affiliation: | Department of Mathematical Analysis, Charles University, Sokolovská 83, CZ-18600 Prague, Czech Republic ; Institut für Mathematik, Johannes Kepler Universität, Altenbergerstraße, A-4040 Linz, Austria |
| Abstract: | A Banach space  is not reflexive if and only if there exist a closed separable subspace  of  and a convex closed subset  of  with empty interior which contains translates of all compact sets in  . If, moreover,  is separable, then it is possible to put  . |
| Keywords: | Banach spaces reflexivity convexity |
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