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

2022/06/13 by Wu, Mingzhi, Guo, Tiexin, Long, Long
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2206.06071

Abstract

Based on both the fundamental theorem of affine geometry in regular L⁰-modules and the recent progress in random convex analysis, this paper characterizes the stable fully order preserving and order reversing operators acting on the class of proper lower semicontinuous L⁰-convex functions in complete random normed modules.

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