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Some characterizations of weakly compact operator on Banach lattices

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Abstract

We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.

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Authors and Affiliations

  1. Département d’Economie, Faculté des Sciences Economiques, Juridiques et Sociales, Université Mohammed V-Souissi, B.P. 5295, SalaAljadida, Morocco

    Belmesnaoui Aqzzouz

  2. Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, B.P. 133, Kénitra, Morocco

    Khalid Bouras

Authors
  1. Belmesnaoui Aqzzouz
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  2. Khalid Bouras
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Correspondence to Belmesnaoui Aqzzouz.

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Aqzzouz, B., Bouras, K. Some characterizations of weakly compact operator on Banach lattices. Czech Math J 61, 901–908 (2011). https://doi.org/10.1007/s10587-011-0057-3

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  • DOI: https://doi.org/10.1007/s10587-011-0057-3

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