61 citations · 113 across the 19 of their papers we have counts for
4 papers · 1 filter
The -extension of an -normed module
Mingzhi Wu, Tiexin Guo
In this paper, we embed each -normed module into an appropriate and unique complete random normed module so that the properties of are closely related to th…
Random convex analysis (I): separation and Fenchel-Moreau duality in random locally convex modules
Tiexin Guo, Shien Zhao, Xiaolin Zeng
To provide a solid analytic foundation for the module approach to conditional risk measures, our purpose is to establish a complete random convex analysis over random locally conve…
Random convex analysis (II): continuity and subdifferentiability theorems in --pre--barreled random locally convex modules
Tiexin Guo, Shien Zhao, Xiaolin Zeng
In this paper, we continue to study random convex analysis. First, we introduce the notion of an --pre--barreled module. Then, we develop the theory of random duality under th…
A counterexample shows that not every locally --convex topology is necessarily induced by a family of --seminorms
Mingzhi Wu, Tiexin Guo
This paper constructs a counterexample showing that not every locally --convex topology is necessarily induced by a family of --seminorms. Random convex analysis is the a…