Some characterizations of weakly compact operator on Banach lattices

被引：0
|
作者：
Aqzzouz, Belmesnaoui [1 ]
Bouras, Khalid [2 ]
机构：
[1] Univ Mohammed V Souissi, Fac Sci Econ Jurid & Sociales, Dept Econ, Salaaljadida, Morocco
[2] Univ Ibn Tofail, Fac Sci, Dept Math, Kenitra, Morocco
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 04期
关键词：
weakly compact operator; order continuous norm; KB-space; DUNFORD-PETTIS OPERATORS;
D O I：
10.1007/s10587-011-0057-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
引用
收藏
页码：901 / 908
页数：8
相关论文
共 50 条
  • [1] Some characterizations of weakly compact operator on Banach lattices
    Belmesnaoui Aqzzouz
    Khalid Bouras
    Czechoslovak Mathematical Journal, 2011, 61 : 901 - 908
  • [2] Some characterizations of compact operators on Banach lattices
    Aqzzouz B.
    Elbour A.
    Rendiconti del Circolo Matematico di Palermo, 2008, 57 (3) : 423 - 431
  • [3] SOME CHARACTERIZATIONS OF ORDER WEAKLY COMPACT OPERATOR
    Aqzzouz, Belmesnaoui
    Elbour, Aziz
    MATHEMATICA BOHEMICA, 2011, 136 (01): : 105 - 112
  • [4] On some new characterizations of weakly compact sets in Banach spaces
    Cheng, Lixin
    Cheng, Qingjin
    Luo, Zhenghua
    STUDIA MATHEMATICA, 2010, 201 (02) : 155 - 166
  • [5] Vector lattices of weakly compact operators on Banach lattices
    Chen, ZL
    Wickstead, AW
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (01) : 397 - 412
  • [6] Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
    Lesnik, Karol
    Maligranda, Lech
    Tomaszewski, Jakub
    MATHEMATISCHE NACHRICHTEN, 2022, 295 (03) : 574 - 592
  • [7] Tukey classification of some ideals on ω and the lattices of weakly compact sets in Banach spaces
    Aviles, A.
    Plebanek, G.
    Rodriguez, J.
    ADVANCES IN MATHEMATICS, 2017, 310 : 696 - 758
  • [8] A counterexample of compact operator between Banach lattices
    Zi Li Chen
    Positivity, 2003, 7 : 113 - 118
  • [9] A counterexample of compact operator between Banach lattices
    Chen, ZL
    POSITIVITY, 2003, 7 (1-2) : 113 - 118
  • [10] SOME WEAKLY COMPACT-OPERATORS BETWEEN BANACH-LATTICES DO NOT FACTOR THROUGH REFLEXIVE BANACH-LATTICES
    TALAGRAND, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (01) : 95 - 102
12345