English

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

Functional Analysis 2022-06-14 v1

Abstract

Based on both the fundamental theorem of affine geometry in regular L0L^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 L0L^0-convex functions in complete random normed modules.

Keywords

Cite

@article{arxiv.2206.06071,
  title  = {Order preserving and order reversing operators on the class of $L^0$-convex functions in complete random normed modules},
  author = {Mingzhi Wu and Tiexin Guo and Long Long},
  journal= {arXiv preprint arXiv:2206.06071},
  year   = {2022}
}

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