Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with the Luxemburg norm

被引：1
|
作者：
Hassaine, Slimane [1 ]
Boulahia, Fatiha [2 ]
机构：
[1] Univ Mouloud Mammeri Tizi Ouzou, BP 17,RP 15000, Tizi Ouzou, Algeria
[2] Univ Bejaia, Lab Appl Math, Dept Math, Fac Exact Sci, Targa Ouzemour 06000, Bejaia, Algeria
来源：
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2021年 / 62卷 / 01期
关键词：
Besicovitch-Orlicz space; extreme point; strict convexity; almost periodic function;
D O I：
10.14712/1213-7243.2021.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate which points in the unit sphere of the Besicovitch-Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
引用
收藏
页码：67 / 79
页数：13
相关论文
共 14 条
  • [1] EXTREME POINTS OF THE BESICOVITCH-ORLICZ SPACE OF ALMOST PERIODIC FUNCTIONS EQUIPPED WITH ORLICZ NORM
    Boulahia, Fatiha
    Hassaine, Slimane
    OPUSCULA MATHEMATICA, 2021, 41 (05) : 629 - 648
  • [2] On some equivalent geometric properties in the Besicovitch-Orlicz space of almost periodic functions with Luxemburg norm
    Bedouhene, Fazia
    Morsli, Mohamed
    Smaali, Mannal
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2010, 51 (01): : 25 - 35
  • [3] On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm
    Bedouhene, Fazia
    Daoui, Amina
    Kourat, Hocine
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2012, 53 (04): : 535 - 547
  • [4] Uniform non-squareness and property (beta) of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm
    Boulahia, Fatiha
    Morsli, Mohamed
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2010, 51 (03): : 417 - 426
  • [5] Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
    Cui, Y
    Hudzik, H
    Pluciennik, R
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2003, 22 (04): : 789 - 817
  • [6] Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions
    Morsli, Mohamed
    Smaali, Mannal
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2007, 48 (03): : 443 - 458
  • [7] Extreme points and strong U-points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
    Cui, Yunan
    Hudzik, Henryk
    Wisla, Marek
    Zou, Mingxia
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2007, 26 (01): : 87 - 101
  • [8] Strongly extreme points in Orlicz spaces equipped with the p-Amemiya norm
    Cui, Yunan
    Hudzik, Henryk
    Li, Jingjing
    Wisla, Marek
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6343 - 6364
  • [9] On some convexity properties of Orlicz sequence spaces equipped with the Luxemburg norm
    Hudzik, H
    Pallaschke, D
    MATHEMATISCHE NACHRICHTEN, 1997, 186 : 167 - 185
  • [10] Rotundity of Orlicz-Bochner Space with Luxemburg Norm
    刘玉霞
    石忠锐
    张品
    Journal of Shanghai University, 2003, (04) : 322 - 326
12