Some characterizations of weakly compact operator on Banach lattices

被引：0
作者：
Belmesnaoui Aqzzouz
Khalid Bouras
机构：
[1] Université Mohammed V-Souissi,Département d’Economie, Faculté des Sciences Economiques, Juridiques et Sociales
[2] Université Ibn Tofail,Département de Mathématiques, Faculté des Sciences
来源：
Czechoslovak Mathematical Journal | 2011年 / 61卷
关键词：
weakly compact operator; order continuous norm; KB-space; 46A40; 46B40; 46B42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
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收藏
页码：901 / 908
页数：7
相关论文
共 9 条
  • [1] Aqzzouz B.(2006)About positive Dunford-Pettis operators on Banach lattices J. Math. Anal. Appl. 324 49-59
  • [2] Nouira R.(2010)On the weak compactness of b-weakly compact operators Positivity 14 75-81
  • [3] Zraoula L.(2009)Some properties of the class of positive Dunford-Pettis operators J. Math. Anal. Appl. 354 295-300
  • [4] Aqzzouz B.(1996)Converses for the Dodds-Fremlin and Kalton-Saab theorems Math. Proc. Camb. Philos. Soc. 120 175-179
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