Fang Jinxuan. On Probabilistic Norm of a Linear Operators and Space of Operators[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1081-1086.
Citation: Fang Jinxuan. On Probabilistic Norm of a Linear Operators and Space of Operators[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1081-1086.

On Probabilistic Norm of a Linear Operators and Space of Operators

  • Received Date: 1997-12-12
  • Rev Recd Date: 1998-04-21
  • Publish Date: 1999-10-15
  • Since the PN space (E, F) which satisfies condition (PN-5) is just a Menger PN-space (E, F, min), the results with regard to probabilistic norms of linear operators on PN-spaces obtained by Xiao Jianzhong have bigger limitations. In this paper, problems respecting pr obabilistic norms of linear operators and spaces of operators are studied on more general Menger PN spaces. The results presente dimprove and generalize the corresponding results by Xiao.
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