概率赋范空间的局部有界与可赋范化

Locally Bounded Property and Normalization in Probabilistic Normed Spaces

讨论了概率赋范空间的局部有界性，阐明了局部有界的概率赋范空间与赋范空间的关系，给出了概率赋范空间可赋范化的充要条件，提出了广义概率赋范赋空间和最佳广义弱 ｔ模的概念，在这些新概念之下讨论了一些相应的问题．

The locally bounded property in probabilistic normed spaces was discussed,the relationship between the locally bounded probabilistic normed spaces and normed spaces was clarified,and a necessary and sufficient condition for a probabilistic normed space to be normable was presented;the concepts of generalized probabilistic normed spaces and best generalized weak t norms were posed,and some of the corresponding problems under these new concepts were also discussed.