Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (1): 22-25.
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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
CLC Number:
O241
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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