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Some characterizations of almost Dunford–Pettis operators and applications

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Abstract

This paper attempts to deal with some characterizations of almost Dunford–Pettis operators from a Banach lattice into a Banach space. It also discusses some of the consequences derived from this study. As an application, we generalize some results of Meyer-Nieberg on the duality between semi-compact operators and order weakly compact operators.

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Authors and Affiliations

  1. Faculté des Sciences Economiques, Université Mohammed V-Souissi, Rabat, Morocco

    Belmesnaoui Aqzzouz

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

    Aziz Elbour

  3. Département d’Economie, Juridiques et Sociales, B.P. 5295, Sala Aljadida, Morocco

    Belmesnaoui Aqzzouz

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 almost Dunford–Pettis operators and applications. Positivity 15, 369–380 (2011). https://doi.org/10.1007/s11117-010-0083-7

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  • DOI: https://doi.org/10.1007/s11117-010-0083-7

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