Some Properties of Weak * Dunford-Pettis Operators on Banach Lattices

被引：0
作者：
Boumnidel, S. [1 ]
El Kaddouri, A. [2 ]
Aboutafail, O. [2 ]
Bouras, K. [1 ]
机构：
[1] Abdelmalek Essaadi Univ, MMA, FPL, Tetouan, Morocco
[2] Ibn Tofail Univ, Natl Sch Appl Sci ENSAK, ILM Dept, Engn Sci Lab, Kenitra, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷
关键词：
Banach lattices; Dunford-Pettis operator; weak Dunford-Pettis operator; unbounded Dunford-Pettis operator; unbounded absolutely weakly convergence;
D O I：
10.5269/bspm.63911
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study relationships between the class of weak star Dunford-Pettis operators and other classes of operators like Dunford-Pettis, weak Dunford-Pettis and unbounded Dunford-Pettis operators.
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页数：8
相关论文
共 22 条
[1]   On some properties of the class of semi-compact operators [J].
Acizzouz, Belmesnaoui ;
Elbour, Aziz ;
Hmichane, Jawad .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2011, 18 (04) :761-767
[2]  
Aliprantis C. D., 2006, POSITIVE OPERATORS
[3]  
Borwein J., 1997, Acta Math. Vietnam, V22, P53
[4]   LIMITED OPERATORS AND STRICT COSINGULARITY [J].
BOURGAIN, J ;
DIESTEL, J .
MATHEMATISCHE NACHRICHTEN, 1984, 119 :55-58
[5]   A stronger Dunford-Pettis property [J].
Carrion, H. ;
Galindo, P. ;
Lourenco, M. L. .
STUDIA MATHEMATICA, 2008, 184 (03) :205-216
[6]   Almost limited sets in Banach lattices [J].
Chen, Jin Xi ;
Chen, Zi Li ;
Ji, Guo Xing .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) :547-553
[7]   COMPACT-OPERATORS IN BANACH-LATTICES [J].
DODDS, PG ;
FREMLIN, DH .
ISRAEL JOURNAL OF MATHEMATICS, 1979, 34 (04) :287-320
[8]  
El Fahri K, 2017, ADV OPER THEORY, V2, P192, DOI 10.22034/aot.1612-1078
[9]  
El Kaddouri A, 2013, REND CIRC MAT PALERM, V62, P261, DOI 10.1007/s12215-013-0122-x
[10]  
El Kaddouri A., 2013, Acta Univ. Carol. Math. Phys, V54, P37
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