THE MAZUR INTERSECTION PROPERTY AND ASPLUND SPACES

被引：0
|
作者：
SEVILLA, MJ
MORENO, JP
机构：
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 321卷 / 09期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We answer a question posed by J. R. Giles, D. A. Gregory and B. Sims, on the Mazur intersection property, by exhibiting a class of non Asplund spaces admitting an equivalent norm with the above property. On the other hand, if the continuum hypothesis is assumed, we find an Asplund space admitting no equivalent norm with the Mazur intersection property and whose dual space admits no equivalent norm with the weak * Mazur intersection property.
引用
收藏
页码：1219 / 1223
页数：5
相关论文
共 50 条
  • [1] Mazur intersection property for Asplund spaces
    Bacak, Miroslav
    Hajek, Petr
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (08) : 2090 - 2094
  • [2] Renorming Banach spaces with the Mazur intersection property
    Sevilla, MJ
    Moreno, JP
    JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 144 (02) : 486 - 504
  • [3] Mazur Spaces and 4.3-intersection Property of (BM)-spaces
    Alimov, A. R.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2016, 16 (02): : 133 - 137
  • [4] ON THE STRUCTURE OF BANACH-SPACES WITH MAZUR INTERSECTION PROPERTY
    KENDEROV, PS
    GILES, JR
    MATHEMATISCHE ANNALEN, 1991, 291 (03) : 463 - 473
  • [5] Characterization of normed linear spaces with generalized Mazur intersection property
    Dong, Yunbai
    Cheng, Qingjin
    STUDIA MATHEMATICA, 2013, 219 (03) : 193 - 200
  • [6] On the Uniform Mazur Intersection Property
    Bandyopadhyay, Pradipta
    Ganesh, Jadav
    Gothwal, Deepak
    STUDIA MATHEMATICA, 2021, 260 (03) : 273 - 283
  • [7] SOME STABILITY RESULTS FOR BANACH-SPACES WITH THE MAZUR INTERSECTION PROPERTY
    BANDYOPADHYAYA, P
    ROY, AK
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1990, 1 (02): : 137 - 154
  • [8] The generalised (uniform) Mazur Intersection Property
    Bandyopadhyay, Pradipta
    Gothwal, Deepak
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 523 (01)
  • [9] A note on porosity and the Mazur intersection property
    Sevilla, MJ
    Moreno, JP
    MATHEMATIKA, 2000, 47 (93-94) : 267 - 272
  • [10] More on the (uniform) Mazur intersection property
    Gothwal, Deepak
    STUDIA MATHEMATICA, 2024, 278 (01)
12345