Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (3): 8-11.

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Relation between hereditarily indecomposable space and spaces with the ball-covering property(Chinese)

LIN Li-hua   

  1. Department of Mathmatic and computer science, Sanming University, Sanming Fujian 365004, China
  • Received:2007-09-08 Revised:2007-12-06 Online:2008-05-25 Published:2008-05-25
  • Contact: LIN Li-hua

Abstract: It was shown that if X is a hereditarily indecomposable Banach space, and Gateaux differentiability points are dense in X, then X is a ball-covering property space. And further if Gateaux differentiability points are dense in a infinitely dimensional subspace of X , then X is a ball-covering property space too.

Key words: Banach space, hereditarily indecomposable space, Ball-covering, Banach space, hereditarily indecomposable space

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