局部有界、局部凸概率赋范空间上的算子空间的某些性质

Some Properties of Linear Operator Space on Locally Bounded Probabilistic Normed Spaces and Locally Convex Probabilistic Normed Spaces

证明了局部有界概率赋范空间上的算子空间仍然是局部有界的概率赋范空间；局部凸概率赋范空间上的算子空间仍为局部凸概率赋范空间．

This paper proves that probabilistic bounded linear opertor spaces on locally bounded probabilistic normed spaces are locally bounded probabilistic normed spaces, and those on locally convex probabilistic normed spaces are also locally convex probabilistic normed spaces.