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<p>Based on both the fundamental theorem of affine geometry in regular <i>L</i><sup>0</sup>-modules and the recent progress in random convex analysis, this paper characterizes the stable and fully order preserving and order reversing operators acting on the class of proper lower semicontinuous <i>L</i><sup>0</sup>-convex functions in complete random normed modules.</p>

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Order Preserving and Order Reversing Operators on the Class of L0-Convex Functions in Complete Random Normed Modules

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Mingzhi Wu,
  • Tiexin Guo,
  • Long Long,
  • Erxin Zhang

摘要

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 and fully order preserving and order reversing operators acting on the class of proper lower semicontinuous L0-convex functions in complete random normed modules.