算子概率范数与共鸣定理  

Probabilistic Norm of Operators and Resonance Theorems

作　　者：肖建中[1,2] 朱杏华[1,2] 

机构地区：[1]盐城教育学院数学系 [2]盐城师专数学系

出　　处：《应用数学和力学》1999年第7期729-736,共8页Applied Mathematics and Mechanics

摘　　要：提出概率赋范线性空间上集合有界性的简化定义，利用算子概率范数概念·进一步研究概率赋范线性空间上的线性算子理论，并在算子概率赋范空间上，建立了概率有界、概率半有界、非概率无界意义下的共鸣定理·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.

关 键 词：概率有界集 共鸣定理 PN空间 算子概率范数 

分 类 号：O177.3[理学—数学]