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Banach格上序弱紧算子的序Dunford-Pettis性质

The order Dunford–Pettis property of order weak compact operators on Banach lattices
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摘要 根据序Dunford–Pettis算子和序弱紧算子的有关性质,主要研究Banach格中任意的序弱紧算子是序Dunford–Pettis算子的空间必要条件.得到了一些相关的结果. Based on the related properties of order weak compact operators and order Dunfbrd-Pettis conducted on some necessary properties of the space on which each order weak compact operator operators. Some related results are also obtained. operators, a research is is order Duntbrd-Pettis
作者 柳雅朋 陈滋利 王雅娟
机构地区 西南交通大学数学学院
出处 《西南民族大学学报（自然科学版）》 CAS 2014年第2期244-248,共5页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 序Dunford-Pettis算子 序弱紧算子 Dunford-Pettis算子 BANACH格 order Dunfbrd-Pettis operator order weak compact operator Dunfbrd-Pettis operator Banach lattice
分类号 O177.2 [理学—基础数学]
  • 相关文献

参考文献17

  • 1C D ALIPRANTIS, O BURKINSHAW. Positive Operators[M]. New York: Academic Press, 1985.
  • 2P MEYER-NIEBERG. Banach Lattices[M]. Berlin: Universitext, Springer-Verlag, 1991.
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  • 8B AQZZOUZ, J HMICHANE. Complement on order weakly compact operators[J]. Mathods of Functional Analysis and Topology, 2011, 17:112-117.
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  • 10B AQZZOU, R NOUIRA, L ZRAOILA. Semi-compactness of positive Dunford-Pettis operators on Banach Lattices[J]. Amer Math Soc, 2008, 136:1997-2006.

二级参考文献14

  • 1P MEYER-NIEBERG. Banach Lattices,Universitext[M].Beilin:Springer-Verlag,1991.
  • 2C D ALIPRANTIS,O BURKINSHAW. Positive Operators[R].Springer:Reprint of the 1985 original,Dordrecht,2006.
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  • 7B AQZZOUZ,A ELBOUR. Some New Results on the Class of AM-Compact Operators[J].Rendiconti del Circolo Matematico di Palemo,2010.267-275.
  • 8A C ZAANEN. Riesz spaces Ⅱ[M].North-Holland Publishing Company,1983.
  • 9B AQZZOU,R NOUIRA,L ZRAOILA. The duality problem of the class of AM-compact operators on Banach lattices[J].Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques,2008.15-20.
  • 10B AQZZOUZ,A ELBOUR,ANTHONY W. Wickstead,Positive almost Dunford-Pettis operators and their duality[J].Positivity,2011.185-197.
西南民族大学学报（自然科学版）
2014年 第2期

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