Title: Some characterizations for order preserving and order reversing mappings in convex analysis
Speaker: Sijie Luo（Yau Mathematical Sciences Center, Tsinghua University）
Time: 16:00-17:00, July4
Location: Room 201，Ming De Building
Abstract: In this talk, we will provide a representation theorem for order reversing (resp.preserving) mapping defined from the cone Conv(X) onto itself, where Conv(X) consists of all lower semi-continuous convex functions defined on Banach space X. Some representations of such self-mappings defined on certain classes of convex functions will also be discussed. We conclude this talk with some connections between convex analysis and operator theory.
