概率赋范空间中有界线性泛函的延拓定理

EXTENSION THEOREM OF BOUNDED LINEAR FUNCTIONAL ON PROBABILISTIC NORMED SPACES

研究了概率赋范空间中的概率有界(连续)线性泛函,得到了概率赋范空间的概率有界线性泛函的延拓定理和非零概率连续线性泛函的存在定理。

In this paper, we studied the probabilistic bounded linear functionals on probabilistic normed spaces, gained the extension theorem of probabilistic bounded linear functionals and existence theorem of the non-zero continuous probabilistic linear functionals.