Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (1): 99-101.

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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

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.

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