算子概率范数与有界算子的连续性

数学季刊 ›› 1999, Vol. 14 ›› Issue (1): 22-25.

算子概率范数与有界算子的连续性

Jiangsu Yancheng Educational Institute，Yancheng，224002; Yancheng T eacherʾs College，Yancheng，224002

收稿日期:1996-04-09 出版日期:1999-03-30 发布日期:2024-10-09

Probabilistic Norm of Operators and Continuity of Bounded Operators

Jiangsu Yancheng Educational Institute，Yancheng，224002; Yancheng T eacherʾs College，Yancheng，224002

Received:1996-04-09 Online:1999-03-30 Published:2024-10-09

摘要/Abstract

摘要： 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.

关键词: PN space, probabilistic norm, boundedness, continuity

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

中图分类号:

O241

肖建中, 朱杏华 . 算子概率范数与有界算子的连续性[J]. 数学季刊, 1999, 14(1): 22-25.

Xiao Jianzhong, Zhu Xinghua. Probabilistic Norm of Operators and Continuity of Bounded Operators[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(1): 22-25.

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