Xiao Jianzhong, Zhu Xinghua. Probabilistic Norm of Operators and Resonance Theorems[J]. Applied Mathematics and Mechanics, 1999, 20(7): 729-736.
 Citation: Xiao Jianzhong, Zhu Xinghua. Probabilistic Norm of Operators and Resonance Theorems[J]. Applied Mathematics and Mechanics, 1999, 20(7): 729-736.

# Probabilistic Norm of Operators and Resonance Theorems

• Rev Recd Date: 1999-01-21
• Publish Date: 1999-07-15
• In this paper,a simplified definition of boundedness of the sets in probabilistic normed linear space was introduced.By means of the probabilistic norm of linear operators,the linear operator theory on probabilistic normed linear space was further studied.On probabilistic normed linear operator space,some resonance theorems dealing with probabilistic bounded sets,probabilistic semi-bounded sets,and probabilistic non-unbounded sets are obtained.
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