Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (1): 22-25.

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Probabilistic Norm of Operators and Continuity of Bounded Operators

  

  1.  Jiangsu Yancheng Educational Institute,Yancheng,224002; Yancheng T eacherʾs College,Yancheng,224002
  • Received:1996-04-09 Online:1999-03-30 Published:2024-10-09

Abstract: In this paper,the equivalence for continuity and boundedness of the linear operators on a general PN space is proved by means of their probabilistic norm,and the corresponding result in [1] is improved. 

Key words: PN space, probabilistic norm, boundedness, continuity

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