Polynomials on Schreier's space
泛函分析
2016-08-15 v1
摘要
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 enjoys it. As an application, we characterize the weak polynomial convergence of sequences, show that every closed subspace of has the polynomial Dunford-Pettis property of Bistr\"om et al. and give other polynomial properties of .
引用
@article{arxiv.math/0002239,
title = {Polynomials on Schreier's space},
author = {Manuel González and Joaquín M. Gutiérrez},
journal= {arXiv preprint arXiv:math/0002239},
year = {2016}
}
备注
12 pages