A NOTE ON WEAKLY LINDELOF DETERMINED BANACH SPACES

被引:7
|
作者
Gonzalez, A. [1 ]
Montesinos, V. [1 ]
机构
[1] Univ Politecn Valencia, Dept Matemat Aplicada, Inst Matemat Pura & Aplicada, Valencia 46022, Spain
关键词
projectional generator; projectional resolution of the identity; weakly Lindelof determined Banach space; Markushevich base; Corson compacta; COMPACT-SETS;
D O I
10.1007/s10587-009-0055-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that weakly Lindelof determined Banach spaces are characterized by the existence of a "full" projectional generator. Some other results pertaining to this class of Banach spaces are given.
引用
收藏
页码:613 / 621
页数:9
相关论文
共 50 条
  • [1] ON WEAKLY LINDELOF BANACH-SPACES
    ARGYROS, S
    MERCOURAKIS, S
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (02) : 395 - 450
  • [2] A note on weakly Lindelöf determined Banach spaces
    A. González
    V. Montesinos
    [J]. Czechoslovak Mathematical Journal, 2009, 59 : 613 - 621
  • [3] Complementation and decompositions in some weakly Lindelof Banach spaces
    Koszmider, Piotr
    Zielinski, Przemyslaw
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 376 (01) : 329 - 341
  • [4] ON WEAKLY COUNTABLY DETERMINED BANACH-SPACES
    MERCOURAKIS, S
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 300 (01) : 307 - 327
  • [5] Mappings on weakly Lindelof and weakly regular-Lindelof spaces
    Fawakhreh, Anwar Jabor
    Kilicman, Adem
    [J]. APPLIED GENERAL TOPOLOGY, 2011, 12 (02): : 135 - 141
  • [6] SOME REMARKS ON ALMOST LINDELOF SPACES AND WEAKLY LINDELOF SPACES
    Song, Yan-Kui
    Zhang, Yun-Yun
    [J]. MATEMATICKI VESNIK, 2010, 62 (01): : 77 - 83
  • [7] The Lindelof property in Banach spaces
    Cascales, B
    Namioka, I
    Orihuela, J
    [J]. STUDIA MATHEMATICA, 2003, 154 (02) : 165 - 192
  • [8] A NOTE ON LINDELOF SPACES
    DISSANAYAKE, UNB
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1982, 13 (10): : 1117 - 1118
  • [9] PRODUCTS OF WEAKLY LINDELOF SPACES
    HAJNAL, A
    JUHASZ, I
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 48 (02) : 454 - 456
  • [10] Weakly dually Lindelof spaces
    Xuan, Wei-Feng
    Song, Yan-Kui
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 114 (01)