14 citations · 57 across the 17 of their papers we have counts for
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math.FA2015
Some results on the Orlicz space generated from a random normed module
Mingzhi Wu, Long Long, Xiaolin Zeng
Noting the important role the abstract space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a ra…
math.FA2015★ 3 cited
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…
math.FA2015★ 8 cited
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…