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Some geometric properties inherited by the positive tensor products of atomic Banach lattices

Qingying Bu Ngai-Ching Wong

Functional Analysis mathscidoc:1910.43702

Indagationes Mathematicae, 23, (3), 199-213, 2012.9
For Banach lattices X and Y, let X | | Y and X | | Y denote the positive projective and injective tensor products of X and Y, respectively. In this paper, we characterize the inheritance of reflexivity and containment of copies of c 0, 1, by X | | Y and X | | Y from X and Y, when one of them is an atomic Banach lattice. In this case, we also give an affirmative answer to an open question of Jeurnink.
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@inproceedings{qingying2012some,
  title={Some geometric properties inherited by the positive tensor products of atomic Banach lattices},
  author={Qingying Bu, and Ngai-Ching Wong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020211218391472231},
  booktitle={Indagationes Mathematicae},
  volume={23},
  number={3},
  pages={199-213},
  year={2012},
}
Qingying Bu, and Ngai-Ching Wong. Some geometric properties inherited by the positive tensor products of atomic Banach lattices. 2012. Vol. 23. In Indagationes Mathematicae. pp.199-213. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020211218391472231.
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