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arXiv · 2206.06071

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
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Abstract

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 preserving and order reversing operators acting on the class of proper lower semicontinuous $L^0$-convex functions in complete random normed modules.

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Mingzhi Wu, Tiexin Guo, Long Long. 2022-06-13. Order preserving and order reversing operators on the class of $L^0$-convex functions in complete random normed modules. https://arxiv.org/abs/2206.06071

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