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Sigma-locally uniformly rotund and sigma-weak Kadets dual norms |
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| Authors: | M Fabian V Montesinos V Zizler |
| Institution: | a Mathematical Institute, Czech Academy of Sciences, ?itná 25, 115 67 Prague 1, Bohemia, Czech Republic b Departamento de Matemática Aplicada, ETSI Telecomunicación, Universidad Politécnica de Valencia, C/Vera, s/n. 46071 Valencia, Spain |
| Abstract: | The dual X∗ of a Banach space X admits a dual σ-LUR norm if (and only if) X∗ admits a σ-weak∗ Kadets norm if and only if X∗ admits a dual weak∗ LUR norm and moreover X is σ-Asplund generated. |
| Keywords: | 46B20 46B50 |
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