Long Long

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20152026

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math.FA2022

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

Mingzhi Wu, Tiexin Guo, Long Long

Based on both the fundamental theorem of affine geometry in regular $L^{0}$ -modules and the recent progress in random convex analysis, this paper characterizes the stable fully order…

math.FA2021

The fundamental theorem of affine geometry in regular $L^{0}$ -modules

Mingzhi Wu, Tiexin Guo, Long Long

Let $(Ω, F, P)$ be a probability space and $L^{0} (F)$ the algebra of equivalence classes of real-valued random variables defined on $(Ω, F, P)$ . A left m…

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 $L^{p}$ space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a ra…

Order preserving and order reversing operators on the class of L0-convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular L0-modules

Some results on the Orlicz space generated from a random normed module

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular $L^{0}$ -modules