Affiliation:
1. Post-Doctoral Station for Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, China
2. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China
Abstract
The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence spacelΦ,ρ,lΦ,ρis complex midpoint locally uniformly convex. As a corollary,lΦ,ρis also complex strictly convex.
Funder
National Natural Science Foundation of China