Strongly extreme points and middle point locally uniformly convex in Orlicz spaces equipped with \(s\)-norm (Q2422246)

Summary: As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with \(s\)-norm is given. We complete solved criterion -- Orlicz space that generated by Orlicz function. And the sufficient and necessary conditions for middle point locally uniformly convex in Orlicz spaces equipped with \(s\)-norm are obtained.