李娇娇;陈金喜;陈滋利;

• 1:西南交通大学数学学院

摘要(Abstract)：

为了进一步研究Banach格上算子的性质,受b-序有界集和Dunford-Pettis集定义的启发,给出了b-Dunford-Pettis算子的定义,研究了该算子与b-AM-紧算子(Dunford-Pettis全连续算子,弱极限算子,序Dunford-Pettis算子)间的关系;利用b-Dunford-Pettis算子与Dunford-Pettis算子的共轭关系,证明了b-Dunford-Pettis算子满足控制性.

关键词(KeyWords)： b-Dunford-Pettis算子;b-AM-紧算子;弱极限算子;相对紧Dunford-Pettis性质

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11301285)

作者(Authors): 李娇娇;陈金喜;陈滋利;

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