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On uniformly Gâteaux smooth norms and normal structure |
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| Authors: | Michal Johanis Jan Rychtá r |
| Institution: | Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic ; Department of Mathematical Sciences, University of North Carolina at Greensboro, Greensboro, North Carolina 27402 |
| Abstract: | It is shown that every separable Banach space admits an equivalent norm that is uniformly Gâteaux smooth and yet lacks asymptotic normal structure. |
| Keywords: | Normal structure asymptotic normal structure uniformly G\^ateaux smooth norms |
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