Extreme Points in Orlicz Spaces Equipped with Snorm

The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly. Then, based on this, the criterion for extreme points in Orlicz spaces equipped w...

Full description

Saved in:
Bibliographic Details
Main Authors: CUI Yunan, AN Lili, ZHAN Yujia
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2020-10-01
Series:Journal of Harbin University of Science and Technology
Subjects:
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1881
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly. Then, based on this, the criterion for extreme points in Orlicz spaces equipped with snorm is given. And the sufficient and necessary conditions for strictly convex in Orlicz spaces equipped with snorm is obtained.
ISSN:1007-2683