|
|
| |
| Order Preserving and Order Reversing Operators on the Class of L0-Convex Functions in Complete Random Normed Modules |
| |
Citation： |
Mingzhi WU,,Tiexin GUO,,Long LONG,,Erxin ZHANG.Order Preserving and Order Reversing Operators on the Class of L0-Convex Functions in Complete Random Normed Modules[J].Chinese Annals of Mathematics B,2026,(4):603~624 |
| Page view： 207
Net amount： 134 |
Authors： |
Mingzhi WU,; Tiexin GUO,;Long LONG,;Erxin ZHANG |
Foundation： |
the National Natural Science Foundation of China (Nos. 11701531,
11971483, 11501580, 12101193), the Fundamental Research Funds for the Central Universities, China
University of Geosciences (Wuhan) (No. CUGL170820) and the Natural Science Foundation of Hunan
Province of China (No. 2023JJ30642). |
|
|
| 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 and fully order preserving and order reversing operators acting on the class of proper
lower semicontinuous L0-convex functions in complete random normed modules. |
Keywords： |
Order preserving operators Order reversing operators Fenchel conjugation L0-convex functions Complete random normed modules Stability |
Classification： |
46N10, 46B10, 46H25 |
|
|
Download PDF Full-Text
|
|
|
|
