数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 99-101.

• 论文 • 上一篇    下一篇

A CHARACTERIZATION OF l1(Γ) TYPE BANACH SPACES

肖远辉   

  1. Dept. of Math., Nankai Univ., Tianjin 300071, China
  • 收稿日期:1991-10-14 出版日期:1993-03-25 发布日期:1993-03-25

A CHARACTERIZATION OF l1(Γ) TYPE BANACH SPACES

Xiao Yuanhui   

  1. Dept. of Math., Nankai Univ., Tianjin 300071, China
  • Received:1991-10-14 Online:1993-03-25 Published:1993-03-25

摘要: In this paper it turns out that a Banach lattice X is order isomorphic to l1(Γ) for some nonempty set Γ iff it is a Schur space and all the infinitely dimensional, separable and closed ideals of X are order isomorphic.

Abstract: In this paper it turns out that a Banach lattice X is order isomorphic to l1(Γ) for some nonempty set Γ iff it is a Schur space and all the infinitely dimensional, separable and closed ideals of X are order isomorphic.