摘要
提出了MengerPN空间上线性算子范数概念,并利用范数概念进一步研究了MengerPN空间上概率强有界算子范数性质,得到了一类MengerPN空间上的Hahn-Banach保范延拓定理.
A definition of linear operator norm in Menger PN space was introduced. By means of the norm of linear operators, the norm property of probabilistic strong bounded operator on Menger PN space was further studied, and Hahn-Banach norm-preserving prolongation theorems were obtained on a class of Menger PN space.
出处
《海南师范学院学报(自然科学版)》
CAS
2005年第2期115-118,共4页
Journal of Hainan Normal University:Natural Science