Polynomial versions of weak Dunford–Pettis properties in Banach lattices
Polynomial versions of weak Dunford–Pettis properties in Banach lattices
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DOI：
10.1007/s11117-021-00837-2
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发表时间：
2021-05
期刊：
影响因子：
1
通讯作者：
Yu Wang;Zhongrui Shi;Q. Bu
中科院分区：
文献类型：
--
作者：
Yu Wang;Zhongrui Shi;Q. Bu
本文引入了Banach格的弱Dunford-Pettis性质和弱Dunford-Pettis性质的多项式形式。利用Fremlin射影Banach格张量积，得到了Banach格上弱Dunford-Pettis性质和弱Dunford-Pettis性质的正则齐次多项式刻画.
In this paper, we introduce polynomial versions of the weak Dunford–Pettis property and the weak Dunford–Pettisproperty 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–Pettisproperty in terms of regular homogeneous polynomials on Banach lattices.