Ball Proximinal Spaces

被引：0
|
作者：
Indumathi, V. [1 ]
Lalithambigai, S. [1 ]
机构：
[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India
来源：
JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 02期
关键词：
Proximinal; ball proximinal; strongly ball proximinal; BANACH-SPACES; SUBSPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that spaces with strong 11/2 property are ball proximinal and in particular M-ideals are ball proximinal. We show that the problem of ball proximinality of hyperplanes is related to the problem of proximinality of certain convex sets determined by them.
引用
收藏
页码：353 / 366
页数：14
相关论文
共 50 条
  • [1] Ball Proximinal and Strongly Ball Proximinal Spaces
    Lin, Pei-Kee
    Zhang, Wen
    Zheng, Bentuo
    JOURNAL OF CONVEX ANALYSIS, 2015, 22 (03) : 673 - 685
  • [2] Ball proximinal and strongly ball proximinal hyperplanes
    Indumathi, V.
    Prakash, N.
    JOURNAL OF APPROXIMATION THEORY, 2013, 172 : 37 - 46
  • [3] On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
    Saidi, FB
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (09) : 2697 - 2703
  • [4] On Some Proximinal Subspaces of Modular Spaces
    A. S. Granero
    H. Hudzik
    Acta Mathematica Hungarica, 1999, 85 : 59 - 79
  • [5] On some proximinal subspaces of modular spaces
    Granero, AS
    Hudzik, H
    ACTA MATHEMATICA HUNGARICA, 1999, 85 (1-2) : 59 - 79
  • [6] Proximinal faces of some Banach spaces
    Prakash N.
    Sangeetha K.V.
    Annals of Functional Analysis, 2023, 14 (2)
  • [7] Strongly proximinal subspaces in banach spaces
    Dutta, S.
    Narayana, Darapaneni
    FUNCTION SPACES, 2007, 435 : 143 - +
  • [8] PROXIMINAL SUBSPACES OF 2-NORMED SPACES
    Sh.Rezapour
    AnalysisinTheoryandApplications, 2006, (02) : 114 - 119
  • [9] Convexity of generalized proximinal sets in Banach spaces
    Luo, Xian-Fa
    Li, Chong
    Peng, Lihui
    Yao, Jen-Chih
    OPTIMIZATION, 2018, 67 (09) : 1535 - 1551
  • [10] Banach spaces with no proximinal subspaces of codimension 2
    Charles J. Read
    Israel Journal of Mathematics, 2018, 223 : 493 - 504
12345