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Polynomial versions of weak Dunford–Pettis properties in Banach lattices
Positivity ( IF 1 ) Pub Date : 2021-05-28 , DOI: 10.1007/s11117-021-00837-2 Yu Wang , Zhongrui Shi , Qingying Bu
中文翻译:
Banach格中弱Dunford-Pettis属性的多项式版本
更新日期:2021-05-30
Positivity ( IF 1 ) Pub Date : 2021-05-28 , DOI: 10.1007/s11117-021-00837-2 Yu Wang , Zhongrui Shi , Qingying Bu
In this paper, we introduce polynomial versions of the weak Dunford–Pettis property and the weak Dunford–Pettis\(^{*}\) property for Banach lattices. By using Fremlin projective Banach lattice tensor products, we obtain several characterizations of the weak Dunford–Pettis property and the weak Dunford–Pettis\(^{*}\) property in terms of regular homogeneous polynomials on Banach lattices.
中文翻译:
Banach格中弱Dunford-Pettis属性的多项式版本
在本文中,我们介绍了 Banach 格的弱 Dunford-Pettis 性质和弱 Dunford-Pettis \(^{*}\)性质的多项式版本。通过使用 Fremlin 投影 Banach 格张量积,我们根据 Banach 格上的规则齐次多项式获得了弱 Dunford-Pettis 性质和弱 Dunford-Pettis \(^{*}\)性质的几个特征。