PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (3): 307-313.

• 论文 • 上一篇

PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE

肖建中¹, 蒋兴国²

1. Jiangsu Yancheng Educational Institute, Yancheng 224002, P. R. China;
2. Agricultural College of Yangzhou University, Yangzhou 225009, P. R. China

收稿日期:1995-03-24 修回日期:1996-10-20 出版日期:1997-03-18 发布日期:1997-03-18

PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE

Xiao Jianzhong¹, Jiang Xingguo²

1. Jiangsu Yancheng Educational Institute, Yancheng 224002, P. R. China;
2. Agricultural College of Yangzhou University, Yangzhou 225009, P. R. China

Received:1995-03-24 Revised:1996-10-20 Online:1997-03-18 Published:1997-03-18

摘要/Abstract

摘要： In this paper, the new definition of probabilistic norm of linear operators on a PN space is giren. In virtue of this, the boundedness of linear operators is described and the completeness of the PN space composed of all bounded linear operators is showed.

关键词: PN space, operator, probability, norm

Abstract: In this paper, the new definition of probabilistic norm of linear operators on a PN space is giren. In virtue of this, the boundedness of linear operators is described and the completeness of the PN space composed of all bounded linear operators is showed.

Key words: PN space, operator, probability, norm

肖建中;蒋兴国. PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(3): 307-313.

Xiao Jianzhong;Jiang Xingguo. PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(3): 307-313.

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PROBABILISTIC NORM OF LINEAR OPERATORS ON PN SPACE

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