b-AM-Dunford-Pettis Operators on Banach lattices

被引：1
|
作者：
Baklouti, Hamadi [1 ]
Hajji, Mohamed [2 ]
Moulahi, Radhouene [1 ]
机构：
[1] Sfax Univ, Sfax, Tunisia
[2] Kairouan Univ, Kasserine, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 03期
关键词：
Banach lattice; b-Order bounded; Order continuous norm; COMPACT-OPERATORS;
D O I：
10.1007/s11785-024-01523-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In our research work, we introduce a new class of operators that we call b-AM-Dunford-Pettis operators. Properties of b-AM-Dunford-Pettis operators, the relationship between the b-AM-Dunford-Pettis operators and various classes of operators are investigated. On the other side, our techniques and results will be related to the lattice structure of the b-AM-Dunford-Pettis operators. For instance, it will be proved that under certain conditions, the b-AM-Dunford-Pettis opertors verify the domination properties.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Positive almost Dunford-Pettis operators and their duality
    Aqzzouz, Belmesnaoui
    Elbour, Aziz
    Wickstead, Anthony W.
    POSITIVITY, 2011, 15 (02) : 185 - 197
  • [32] On the class of positive almost weak Dunford–Pettis operators
    Khalid Bouras
    Mohammed Moussa
    Positivity, 2013, 17 : 589 - 600
  • [33] Unbounded absolutely weak Dunford-Pettis operators
    Erkursun Ozcan, Nazife
    Gezer, Niyazi Anil
    Zabeti, Omid
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (06) : 2731 - 2740
  • [34] The Alternative Dunford–Pettis Property for Subspaces of the Compact Operators
    María D. Acosta
    Antonio M. Peralta
    Positivity, 2006, 10 : 51 - 63
  • [35] The weak compactness of almost Dunford-Pettis operators
    Aqzzouz, Belmesnaoui
    Elbour, Aziz
    Aboutafail, Othman
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2011, 52 (01): : 31 - 35
  • [36] On the domination of limited and order Dunford-Pettis operators
    H’Michane J.
    El Fahri K.
    Annales mathématiques du Québec, 2015, 39 (2) : 169 - 176
  • [37] The alternative Dunford-Pettis property for subspaces of the compact operators
    Acosta, MD
    Peralta, AM
    POSITIVITY, 2006, 10 (01) : 51 - 63
  • [38] Some properties of the class of positive Dunford-Pettis operators
    Aqzzouz, Belmesnaoui
    Elbour, Aziz
    Hmichane, Jawad
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (01) : 295 - 300
  • [39] The relationship between almost Dunford-Pettis operators and almost limited operators
    El Fahri, Kamal
    H'michane, Jawad
    QUAESTIONES MATHEMATICAE, 2016, 39 (04) : 487 - 496
  • [40] On the class of positive almost weak Dunford-Pettis operators
    Bouras, Khalid
    Moussa, Mohammed
    POSITIVITY, 2013, 17 (03) : 589 - 600
12345