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
  • [41] BANACH SPACES WITH WEAK*-SEQUENTIAL DUAL BALL
    Martinez-Cervantes, Gonzalo
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (04) : 1825 - 1832
  • [42] THE DUAL OF THE BERGMAN SPACE-A1 ON THE CAYLEY TRANSFORM OF THE UNIT BALL IN CN
    BEKOLLE, D
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1983, 296 (09): : 377 - 380
  • [43] NORMAL TILINGS OF A BANACH SPACE AND ITS BALL
    Deville, Robert
    Garcia-Bravo, Miguel
    MATHEMATIKA, 2020, 66 (03) : 752 - 764
  • [44] Sequential continuity in the ball topology of a Banach space
    Granero, AS
    Sevilla, MJ
    Moreno, JP
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1999, 10 (03): : 423 - 435
  • [45] ON CONVEX COMBINATIONS OF SLICES OF THE UNIT BALL IN BANACH SPACES
    Haller, Rainis
    Kuuseok, Paavo
    Poldvere, Mart
    HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (04): : 1153 - 1168
  • [46] The dual of the space of bounded operators on a Banach space
    Botelho, Fernanda
    Fleming, Richard J.
    CONCRETE OPERATORS, 2021, 8 (01): : 48 - 59
  • [47] CLOSED FACES OF A UNIT BALL IN BANACH-SPACES
    VLASOV, LP
    USTINOV, GM
    DOKLADY AKADEMII NAUK SSSR, 1983, 273 (03): : 529 - 531
  • [48] Banach Random Walk in the Unit Ball and Chaotic Decomposition of
    Banek, Tadeusz
    JOURNAL OF THEORETICAL PROBABILITY, 2016, 29 (04) : 1728 - 1735
  • [49] DUAL BALL OF A LINDENSTRAUSS SPACE
    LAU, KS
    MATHEMATICA SCANDINAVICA, 1973, 33 (02) : 323 - 337
  • [50] The core of the unit sphere of a Banach space
    Campos-Jimenez, Almudena
    Garcia-Pacheco, Francisco Javier
    AIMS MATHEMATICS, 2024, 9 (02): : 3440 - 3452
12345