International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 731-736

On probalistic normed spaces under τT,L

Mingsheng Ying

Department of Mathematics, Fuzhou Teacher's College, Jiangxi, China

Received 20 June 1988; Revised 12 September 1988

Copyright © 1990 Mingsheng Ying. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce the operation L copulative with τT,L to define PN space under τT,L and establish some basic properties of probabilistic seminorms and norms under τT,L. Finally, we discuss so-called L-simple spaces.