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Positive almost Dunford–Pettis operators and their duality

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Abstract

We study some properties of almost Dunford–Pettis operators and we characterize pairs of Banach lattices for which the adjoint of an almost Dunford–Pettis operator inherits the same property and look at conditions under which an operator is almost Dunford–Pettis whenever its adjoint is.

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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

    Aziz Elbour

  3. Pure Mathematics Research Centre, Queens University Belfast, Belfast, Northern Ireland, UK

    Anthony W. Wickstead

Authors
  1. Belmesnaoui Aqzzouz
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  2. Aziz Elbour
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  3. Anthony W. Wickstead
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Correspondence to Anthony W. Wickstead.

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Aqzzouz, B., Elbour, A. & Wickstead, A.W. Positive almost Dunford–Pettis operators and their duality. Positivity 15, 185–197 (2011). https://doi.org/10.1007/s11117-010-0050-3

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  • DOI: https://doi.org/10.1007/s11117-010-0050-3

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