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.

Related Organizations

Central South University
China (People's Republic of)
China University of Geosciences
China (People's Republic of)
China University of Geosciences
China University of Geosciences
China (People's Republic of)
Central South University

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

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