| Banach格上的b-几乎Dunford-Pettis算子 |
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| 引用本文： | 陈缘媛,陈金喜,陈滋利.Banach格上的b-几乎Dunford-Pettis算子[J].纯粹数学与应用数学,2020(1):50-57. |
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| 作者姓名： | 陈缘媛 陈金喜 陈滋利 |
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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(11701479). |
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| 摘 要： | 首先给出了Banah格上的b-几乎Dunford-Pettis算子的定义;其次,研究了b-几乎Dunford-Pettis算子的相关性质,如b-几乎Dunford-Pettis算子的等价刻画,构成空间的性质,以及控制性;最后,研究了b-几乎DunfordPettis算子与相关算子(b-弱紧算子,弱紧算子,几乎Dunford-Pettis算子)间的关系.
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| 关 键 词： | b-几乎Dunford-Pettis算子 几乎Dunford-Pettis算子 弱紧算子 序连续范数 |
B-almost Dunford-Pettis operators in Banach lattices |
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| Chen Yuanyuan,Chen Jinxi,Chen Zili.B-almost Dunford-Pettis operators in Banach lattices[J].Pure and Applied Mathematics,2020(1):50-57. |
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| Authors: | Chen Yuanyuan Chen Jinxi Chen Zili |
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| Institution: | (Department of Mathematics,Southwest Jiaotong University,Chengdu 611756,China) |
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| Abstract: | In this paper,we introduce the definition of b-almost Dunford-Pettis operators in Banach lattices.Next,we discuss some properties of b-almost Dunford-Pettis operators.The main properties are the equivalent characterization of b-almost Dunford-Pettis operators,the properties of the space,the domination of b-almost Dunford-Pettis operators.Finally,we study the relationship between b-almost Dunford-Pettis operators and other operators(b-weak compact operator,weak compact operators,almost Dunford-Pettis operators). |
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| Keywords: | b-almost Dunford-Pettis operators almost Dunford-Pettis operators weak compact operators order continuous norm |
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