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Polynomials on Schreier's space | | Manuel González
; Joaqu’{i}n M. Gutiérrez
; | | Date: |
28 Feb 2000 | | Subject: | Functional Analysis MSC-class: 46B20 | math.FA | | Abstract: | We introduce a weakened version of the Dunford-Pettis property, and give examples of Banach spaces with this property. In particular, we show that every closed subspace of Schreier’s space $S$ enjoys it. As an application, we characterize the weak polynomial convergence of sequences, show that every closed subspace of $S$ has the polynomial Dunford-Pettis property of Biström et al. and give other polynomial properties of $S$. | | Source: | arXiv, math.FA/0002239 | | Services: | Forum | Review | PDF | Favorites | |
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