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Polynomials on Schreier's space

Manuel González·Joaquín M. Gutiérrez
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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 $S$.

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BibTeXRIS

Manuel González, Joaquín M. Gutiérrez. 2000-02-28. Polynomials on Schreier's space. https://arxiv.org/abs/math/0002239

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