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On the Banach-Saks property in Fréchet spaces |
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| Authors: | Jesús M. F. Castillo Marilda A. Simões |
| Affiliation: | 1. Departamento de Matemáticas, Universidad de Extremadura, Avda de Elvas s/n, 06071, Badajoz, Espa?a 2. Dipartimento di Matematica, Université di Roma “La Sapienza” r]Piazzale Aldo Moro 2, 00185, Roma, Italia |
| Abstract: | We prove that the Banach-Saks and the strict Banach-Saks properties are equivalent in quasinormable Fréchet spaces. We give an example of a Fréchet space having the Banach-Saks property which cannot be written as a projective limit of Banach spaces having the weak Banach-Saks property. |
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