Some characterizations of compact operators on Banach lattices

被引:2
|
作者
Aqzzouz B. [1 ]
Elbour A. [2 ]
机构
[1] Faculté des Sciences Economiques, Juridiques et Sociales, Département d'Economie, Université Mohammed V-Souissi, SalaEljadida
[2] Faculté des Sciences, Département de Mathématiques, Université Ibn Tofail, Kénitra
关键词
AM-compact operator; compact operator; discrete Banach lattice; order continuous norm; semi-compact operator;
D O I
10.1007/s12215-008-0031-6
中图分类号
学科分类号
摘要
We study the compactness of the class of operators which are AM-compact and semi-compact on Banach lattices and as consequences, we obtain some characterizations of order continuous norms. © 2008 Springer-Verlag Italia.
引用
收藏
页码:423 / 431
页数:8
相关论文
共 50 条
  • [31] On the duality property for semi-compact operators on Banach lattices
    Belmesnaoui Aqzzouz
    Aziz Elbour
    Acta Scientiarum Mathematicarum, 2011, 77 (3-4): : 513 - 524
  • [32] Some characterizations of minimal compact normal operators
    Li, Yuan
    Wang, Shuaijie
    Cai, Xiaomei
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 549 : 233 - 245
  • [33] ON THE EQUALITY BETWEEN SOME CLASSES OF OPERATORS ON BANACH LATTICES
    Aqzzouz, Belmesnaoui
    Elbour, Aziz
    Moussa, Mohammed
    MATHEMATICA BOHEMICA, 2012, 137 (03): : 347 - 354
  • [34] OPERATORS ON BANACH LATTICES
    SHIELDS, PC
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 247 - &
  • [35] FACTORING COMPACT AND WEAKLY COMPACT-OPERATORS THROUGH REFLEXIVE BANACH-LATTICES
    ALIPRANTIS, CD
    BURKINSHAW, O
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 283 (01) : 369 - 381
  • [36] A note on spectral sublinearity for collections of positive compact operators on Banach lattices
    Kandic, M.
    SPECIAL MATRICES, 2018, 6 (01): : 369 - 375
  • [37] Duality properties for b-AM-compact operators on Banach lattices
    Cheng, Na
    Chen, Zi-Li
    Chen, Guang-Gui
    MATHEMATICAL NOTES, 2013, 93 (3-4) : 465 - 469
  • [38] The duality problem for the class of AM-compact operators on Banach lattices
    Aqzzouz, Belmesnaoui
    Nouira, Redouane
    Zraoula, Larbi
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (01): : 15 - 20
  • [39] Duality properties for b-AM-compact operators on Banach lattices
    Na Cheng
    Zi-Li Chen
    Guang-Gui Chen
    Mathematical Notes, 2013, 93 : 465 - 469
  • [40] Weak Sequential Convergence in the Dual of Compact Operators between Banach Lattices
    Ardakani, Halimeh
    Mosadegh, S. M. Sadegh Modarres
    Moshtaghioun, S. Mohammad
    FILOMAT, 2017, 31 (03) : 723 - 728