Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 500-506.

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ON THE BOUNDEDNESS OF SPHERES IN F∗-SPACES

 DING Guang-Gui   

  1. Nankai University, Tianjin 300071, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    This research is supported by National Natural Science Foundation of China (19971046) and RFDP(2001005513)

Abstract:

In this paper, some results concerning the relationship between the boundedness of some spheres and the local boundedness of the F-space are presented. Moreover,some results about the compactness are also given.

Key words: F-space, sphere, local boundedness, compactness

CLC Number: 

  • 46A16
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