序几乎(L)-Dunford-Pettis算子
详细信息    查看全文 | 推荐本文 |
  • 英文篇名:The Classes of Order Almost (L)-Dunford-Pettis Operators
  • 作者:梅礼华 ; 陈滋利
  • 英文作者:MEI Lihua;CHEN Zili;College of Information Engineering,Lanzhou University of Finance and Economics;School of Mathematics,Southwest Jiaotong University;
  • 关键词:序有界集 ; 几乎(L)集 ; 几乎Dunford-Pettis算子 ; 序几乎(L)-Dunford-Pettis算子
  • 英文关键词:order bounded set;;almost (L) set;;almost Dunford-Pettis operator;;order almost (L)-Dunford-Pettis operators
  • 中文刊名:SCSD
  • 英文刊名:Journal of Sichuan Normal University(Natural Science)
  • 机构:兰州财经大学信息工程学院;西南交通大学数学学院;
  • 出版日期:2019-03-20
  • 出版单位:四川师范大学学报(自然科学版)
  • 年:2019
  • 期:v.42
  • 基金:国家自然科学基金(61662066)
  • 语种:中文;
  • 页:SCSD201902013
  • 页数:3
  • CN:02
  • ISSN:51-1295/N
  • 分类号:83-85
摘要
首先根据序(L)-Dunford-Pettis算子的概念定义序几乎(L)-Dunford-Pettis算子,其次研究序几乎(L)-Dunford-Pettis算子的一些性质,以及序几乎(L)-Dunford-Pettis算子与几乎Dunford-Pettis算子、序弱紧算子、序(L)-Dunford-Pettis算子和AM紧算子的关系.
        According to the concept of order( L)-Dunford-Pettis operators,we define order almost( L)-Dunford-Pettis operators and introduce some properties about order almost( L)-Dunford-Pettis operators,and study the relationship between almost DunfordPettis operators,order weakly compact operators,( L)-Dunford-Pettis operators,AM-compact operators and order almost( L)-Dunford-Pettis operators.
引文
[1]ELBOUR K,MACHRAFI N,HMJCHANE J,et al. Application of(L)sets to some classes of operators[J]. Mathematica Bohemica,2016,141(3):1-12.
    [2]AQZZOUZ B,BOURAS K.(L)sets and almost(L)sets in Banach lattices[J]. Questions Mathematicae,2013,4:107-118.
    [3]MEYER-NIEBERG P. Banach Lattices[M]. Berlin:Springer-Verlag,1991.
    [4]ALIPRANTIS C D,BURKINSHAW O. Positive Operators[M]. Dordrecht:Springer-Verlag,2006.
    [5]WNUK W. Banach lattices with the weak Dunford-Pettis property[J]. Atti Sem Mat Fis Univ Modena,1994,42:227-236.
    [6]ALPAY S,ALTIN B. On Riesz spaces with b-property and b-weakly compact operators[J]. Vladikavkaz Mat Zh,2009,11(2):19-26.
    [7]AQZZOUZ B,BOURAS K. Weak and almost Dunford-Pettis operators on Banach lattices[C]//Demonstratio Mathematica XLVI,2013:165-179.