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：

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

页码：901 / 908

页数：8

共 9 条

[1] Aliprantis C. D., 2006, POSITIVE OPERATORS
[2] About positive Dunford-Pettis operators on banach lattices
Aqzzouz, Belmesnaoui
Nouira, Redouane
Zraoula, Larbi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 49 - 59
[3] On the weak compactness of b-weakly compact operators
Aqzzouz, Belmesnaoui
Elbour, Aziz
[J]. POSITIVITY, 2010, 14 (01) : 75 - 81
[4] Some properties of the class of positive Dunford-Pettis operators
Aqzzouz, Belmesnaoui
Elbour, Aziz
Hmichane, Jawad
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (01) : 295 - 300
[5] Meyer-Nieberg P., 1991, BANACH LATTICES UNIV
[6] Schaefer H. H., 1974, Banach lattices and positive operators
[7] Converses for the Dodds-Fremlin and Kalton-Saab theorems
Wickstead, AW
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 120 : 175 - 179
[8] Wnuk W., 1989, Rev. Mat. Univ. Complutense Madr., V2, P217, DOI DOI 10.5209/REV_REMA.1989.V2.18108
[9] Zaanen A.C., 1983, North-Holland Mathematical Library, V30