A new Banach space with Valdivia dual unit ball

被引：0
|
作者：
Ondřej F. K. Kalenda
机构：
[1] Charles University,Department of Mathematical Analysis, Faculty of Mathematics and Physics
来源：
Israel Journal of Mathematics | 2002年 / 131卷
关键词：
Banach Space; Compact Space; Equivalent Norm; Projectional Resolution; Compact Hausdorff Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an example of a Banach space which admits no projectional resolution of the identity but whose dual unit ball in weak* topology is a Valdivia compact. This answers a question asked by M. Fabian, G. Godefroy and V. Zizler.
引用
收藏
页码：139 / 147
页数：8
相关论文
共 50 条
  • [1] A new Banach space with Valdivia dual unit ball
    Kalenda, OFK
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2002, 131 (1) : 139 - 147
  • [2] COVEING UNIT BALL IN A BANACH SPACE
    CONNETT, J
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1973, 7 (NOV): : 291 - 294
  • [3] COVERING UNIT BALL IN A BANACH SPACE
    CONNETT, JE
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (06): : 954 - &
  • [4] Representable Functions on the Unit Ball of a Banach Space
    Pinasco, Damian
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2011, 8 (03) : 383 - 398
  • [5] Representable Functions on the Unit Ball of a Banach Space
    Damián Pinasco
    [J]. Mediterranean Journal of Mathematics, 2011, 8 : 383 - 398
  • [6] BLOCH FUNCTIONS ON THE UNIT BALL OF A BANACH SPACE
    Miralles, Alejandro
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (04) : 1459 - 1470
  • [7] THICK COVERINGS FOR THE UNIT BALL OF A BANACH SPACE
    Castillo, Jesus M. F.
    Papini, P. L.
    Simoes, Marilda
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2015, 41 (01): : 177 - 186
  • [8] Diametral notions for elements of the unit ball of a Banach space
    Martin, Miguel
    Perreau, Yoel
    Zoca, Abraham Rueda
    [J]. DISSERTATIONES MATHEMATICAE, 2024, 594 : 1 - 61
  • [9] Order unit space of type In with Banach ball property
    Berdikulov, MA
    [J]. ALGEBRA AND OPERATOR THEORY, 1998, : 183 - 186
  • [10] Plasticity of the unit ball of a strictly convex Banach space
    Cascales, B.
    Kadets, V.
    Orihuela, J.
    Wingler, E. J.
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (02) : 723 - 727
12345