Orlicz spaces that are uniformly rotund in the direction of weakly compact sets

被引:0
|
作者
Shi, ZR [1 ]
机构
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2004年 / 8卷 / 02期
关键词
uniform rotundity in the direction of weakly compact sets; Orlicz space; Orlicz norm;
D O I
10.11650/twjm/1500407632
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Sufficient and necessary condition of Orlicz spaces equipped with Orlicz norm that are uniformly rotund in the direction of weakly compact sets using only conditions on generated function of the space are given.
引用
收藏
页码:343 / 359
页数:17
相关论文
共 50 条
  • [1] BANACH-SPACES THAT ARE UNIFORMLY ROTUND IN WEAKLY COMPACT SETS OF DIRECTIONS
    SMITH, MA
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (05): : 963 - 970
  • [2] WEAKLY COMPACT SETS IN ORLICZ SPACES
    ANDO, T
    CANADIAN JOURNAL OF MATHEMATICS, 1962, 14 (01): : 170 - &
  • [3] Weakly compact sets in Orlicz sequence spaces
    Siyu Shi
    Zhongrui Shi
    Shujun Wu
    Czechoslovak Mathematical Journal, 2021, 71 : 961 - 974
  • [4] WEAKLY COMPACT SETS IN ORLICZ SEQUENCE SPACES
    Shi, Siyu
    Shi, Zhongrui
    Wu, Shujun
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (04) : 961 - 974
  • [5] Examples of weakly compact sets in Orlicz spaces
    Dauitbek, D.
    Nessipbayev, Y.
    Tulenov, K.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 106 (02): : 72 - 82
  • [6] On the compactly locally uniformly rotund points of Orlicz spaces
    Lili Chen
    Yunan Cui
    Proceedings Mathematical Sciences, 2007, 117 : 471 - 483
  • [7] On the compactly locally uniformly rotund points of Orlicz spaces
    Chen, Lili
    Cui, Yunan
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (04): : 471 - 483
  • [8] On weakly locally uniformly rotund Banach spaces
    Moltó, A
    Orihuela, J
    Troyanski, S
    Valdivia, M
    JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 163 (02) : 252 - 271
  • [9] Characterizations of weakly uniformly rotund Banach spaces
    Gayathri, P.
    Thota, V
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)
  • [10] Weakly compact sets in Orlicz-Bochner sequence spaces
    Gong, Wanzhong
    Shi, Siyu
    Shi, Zhongrui
    MATHEMATISCHE NACHRICHTEN, 2024, 297 (09) : 3313 - 3333