Polynomials on Schreier ’ s space
نویسندگان
چکیده
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. 1991 AMS Subject Classification: Primary 46B20.
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