On uniform convexity of Banach spaces

被引:0
|
作者
Qing Jin Cheng
Bo Wang
Cui Ling Wang
机构
[1] Tsinghua University,Department of Mathematics
[2] Xiamen University,Department of Mathematics
[3] Jimei University,Department of Mathematics
关键词
Uniformly convex space; Banach-Sakes property; Banach space; 46B20;
D O I
暂无
中图分类号
学科分类号
摘要
This paper gives some relations and properties of several kinds of generalized convexity in Banach spaces. As a result, it proves that every kind of uniform convexity implies the Banach-Sakes property, and several notions of uniform convexity in literature are actually equivalent.
引用
收藏
页码:587 / 594
页数:7
相关论文
共 50 条
  • [21] Uniform Convexity and Associate Spaces
    Petteri Harjulehto
    Peter Hästö
    [J]. Czechoslovak Mathematical Journal, 2018, 68 : 1011 - 1020
  • [22] Convexity and w*-compactness in Banach spaces
    Granero, AS
    Hájek, P
    Santalucía, VM
    [J]. MATHEMATISCHE ANNALEN, 2004, 328 (04) : 625 - 631
  • [23] UNIFORM CONVEXITY AND LOCAL UNIFORM CONVEXITY OF SYMMETRICAL SPACES OF MEASURABLE OPERATORS
    KRYGIN, AV
    SUKOCHEV, FA
    CHILIN, VI
    [J]. DOKLADY AKADEMII NAUK SSSR, 1991, 317 (03): : 555 - 558
  • [24] CLOSURE, CONVEXITY, AND LINEARITY IN BANACH SPACES
    EBERLEIN, WF
    [J]. ANNALS OF MATHEMATICS, 1946, 47 (04) : 688 - 703
  • [25] On ψ-direct sums of Banach spaces and convexity
    Kato, M
    Saito, KS
    Tamura, T
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 75 : 413 - 422
  • [26] Convexity and w*-compactness in Banach spaces
    A. S. Granero
    P. Hájek
    V. Montesinos Santalucía
    [J]. Mathematische Annalen, 2004, 328 : 625 - 631
  • [27] FUNCTIONAL CONVEXITY OF BANACH SPACES WITH A BASE
    NOVERRAZ, P
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (24): : 1564 - &
  • [28] MODUII OF CONVEXITY AND SMOOTHNESS OF BANACH SPACES
    GURARII, VI
    [J]. DOKLADY AKADEMII NAUK SSSR, 1965, 161 (05): : 1003 - &
  • [29] Convexity and best approximation in Banach spaces
    Uday Shankar Chakraborty
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 247 - 258
  • [30] Convexity and best approximation in Banach spaces
    Chakraborty, Uday Shankar
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (01) : 247 - 258