The lattice-almost isometric copies of $l^{1}$ and $l^{infty}$ in Banach lattices

[摘要] In this paper it is shown that if a Banach lattice $E$ contains a lattice copy of $l^{1}$ (or $l^{infty}$), then it contains a lattice-almost isometric copy of $l^{1}$ (resp. $l^{infty}$). The above result is a lattice version of the well-known results of James and Partington concerning the almost isometric copies of $l^{1}$ and $l^{infty}$ in Banach spaces.

[学科分类] 数学（综合）

[关键词] copy of $l^{1}$ (or $l^{infty}$).