| Banach格上的无界绝对弱收敛的弱~*Dunford-Pettis算子 |
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| 引用本文： | 刘春雷,陈滋利,陈金喜. Banach格上的无界绝对弱收敛的弱~*Dunford-Pettis算子[J]. 西南师范大学学报(自然科学版), 2019, 44(4): 31-36 |
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| 作者姓名： | 刘春雷 陈滋利 陈金喜 |
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| 作者单位： | 西南交通大学数学学院 |
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| 基金项目： | 国家自然科学基金项目（11701479）. |
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| 摘 要： | 为进一步研究Banach格上算子的性质,首先,给出无界绝对弱收敛的弱~*Dunford-Pettis算子的定义.其次,通过构造不交序列,探究无界绝对弱收敛的弱~*Dunford-Pettis算子的等价刻画和控制性,并获得了相关推论.最后,研究了该算子与弱~*Dunford-Pettis算子、极限算子和紧算子间的关系.
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| 关 键 词： | 无界绝对弱收敛的弱*Dunford-Pettis算子 正算子 不交列 弱*序列连续格运算 |
| 收稿时间： | 2018-05-04 |
Uaw-w*Dunford-Pettis Operators on Banach lattices |
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| LIU Chun-lei,CHEN Zi-li,CHEN Jin-xi. Uaw-w*Dunford-Pettis Operators on Banach lattices[J]. Journal of southwest china normal university(natural science edition), 2019, 44(4): 31-36 |
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| Authors: | LIU Chun-lei CHEN Zi-li CHEN Jin-xi |
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| Affiliation: | School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China |
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| Abstract: | For the further study of the property of operators on Banach lattices, firstly, we give the definition of uaw-w*Dunford-Pettis operator. Secondly, by constructing the disjoint sequence, we explore the equivalent characterization and domination property of uaw-w*Dunford-Pettis operator, and relevant inferences are achieved. Finally, we study the relationships between uaw-w*Dunford-Pettis operator and weak*Dunford-Pettis operator, limit operator and compact operator. |
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| Keywords: | uaw-w*Dunford-Pettis operator positive operator disjoint sequence weakly*sequentially continuous lattice operations |
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