𝐷-Boundedness and 𝐷-Compactness in Finite Dimensional Probabilistic Normed Spaces

Proceedings Mathematical Sciences

Reza Saadati²  Massoud Amini¹ 

[1] Department of Mathematics, Tarbiat Modarres University, P.O. Box -, Tehran, Iran$$;Department of Mathematics, Islamic Azad University – Ayatollah Amoli Branch, Iran and Institute for Studies in Applied Mathematics, , th Fajr, Amol -, Iran$$

关键词: Probabilistic normed space;    finite dimensional normed space;    𝐷-bounded;    𝐷-compact.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we prove that in a finite dimensional probabilistic normed space, every two probabilistic norms are equivalent and we study the notion of 𝐷-compactness and 𝐷-boundedness in probabilistic normed spaces.

【 授权许可】

Unknown