scholarly journals Daneš theorem in complete random normed modules

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Yujie Yang
Keyword(s):  
Random Normed Modules

THE RANDOM SUBREFLEXIVITY OF COMPLETE RANDOM NORMED MODULES

2012 ◽  
Vol 23 (03) ◽  
pp. 1250047 ◽  
Author(s):  
SHIEN ZHAO ◽  
TIEXIN GUO
Keyword(s):  
Random Normed Module ◽  
Convex Topology ◽  
Normed Module ◽  
Random Normed Modules

Combining respective advantages of the (ε, λ)-topology and the locally L0-convex topology we first prove that every complete random normed module is random subreflexive under the (ε, λ)-topology. Further, we prove that every complete random normed module with the countable concatenation property is also random subreflexive under the locally L0-convex topology, at the same time we also provide a counterexample which shows that it is necessary to require the random normed module to have the countable concatenation property.

Something about random normed modules

1998 ◽  
Vol 43 (7) ◽  
pp. 560-562
Author(s):  
Linhu Zhu ◽  
Cangyi Liu
Keyword(s):  
Random Normed Modules
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