2 papers
math.FA2019
On Azuma-type inequalities for Banach space-valued martingales
Sijie Luo
In this paper, we will study concentration inequalities for Banach space-valued martingales. Firstly, we prove that a Banach space is linearly isomorphic to a -uniformly smo…
math.FA2017
On order preserving and order reversing mappings defined on cones of convex functions
Lixin Cheng, Sijie Luo
In this paper, we first show that for a Banach space there is a fully order reversing mapping from (the cone of all extended real-valued lower semicontinuou…