| 概率赋范线性空间中的一致有界原理 |
| |
| 引用本文： | 郭铁信,林熙.概率赋范线性空间中的一致有界原理[J].西安交通大学学报,1990,24(1):65-70. |
| |
| 作者姓名： | 郭铁信 林熙 |
| |
| 作者单位： | 西安交通大学数学系，西安交通大学数学系，西安交通大学数学系 |
| |
| 摘 要： | 概率赋范空间(简写为 PN 空间)中线性算子的研究已有很多结果.最近游兆永等人进一步完成了 PN 空间的等距度量化工作.本文在前述工作的基础上,系统地证明了 PN 空间中连续线性算子的一致有界性原理.特别是,本文的若干结论推广和改进了已有文献的相应结论.
|
| 关 键 词： | 概率赋范空间 线性算子 共鸣定理 |
UNIFORMLY BOUNDED PRINCIPLE ON PN SPACES |
| |
| Guo Tiexin LinXi Gong Huaiyun.UNIFORMLY BOUNDED PRINCIPLE ON PN SPACES[J].Journal of Xi'an Jiaotong University,1990,24(1):65-70. |
| |
| Authors: | Guo Tiexin LinXi Gong Huaiyun |
| |
| Institution: | Department of mathematics |
| |
| Abstract: | Rcccntly,probabilistic norms of continuous lincar opcrators on locally boundcd PN
spaces were given in the paper3],and the isometric mctrization of PN spaces was perfected
in paper1]
The aim of the present paper is to study the uniformly bounded principle on PN
spaces.First,the authors use3]to give the uniformly bounded principle on locally bound-
cd PN spaces and its application to random operators.Then,the authors utilizc1]to ob-
tain the uniformly bounded principle on PN spaces,in particular,on random lincar normed
spaces.The results in the paper improve and generalizc the corresponding results in1,4]. |
| |
| Keywords: | linearoperator probabilistic normed linearspaces resonance therem |
| 本文献已被 CNKI 维普 等数据库收录！ |
