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Some characterizations of compact operators on Banach lattices

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Abstract

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.

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Authors and Affiliations

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

    Belmesnaoui Aqzzouz

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

    Aziz Elbour

Authors
  1. Belmesnaoui Aqzzouz
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  2. Aziz Elbour
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Correspondence to Belmesnaoui Aqzzouz.

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Aqzzouz, B., Elbour, A. Some characterizations of compact operators on Banach lattices. Rend. Circ. Mat. Palermo 57, 423–431 (2008). https://doi.org/10.1007/s12215-008-0031-6

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  • DOI: https://doi.org/10.1007/s12215-008-0031-6

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