<p>We study the duality problem for the class of disjoint limited completely continuous operators. As consequence, we give a generalization of a result given in H’michane et al. (Operators Matrices 8:593599, 2014. <a href="https://doi.org/10.7153/oam-08-31">https://doi.org/10.7153/oam-08-31</a>) about the direct duality problem and we give the correct version of the result given in H’michane et al. (Operators Matrices 8:593599, 2014. <a href="https://doi.org/10.7153/oam-08-31">https://doi.org/10.7153/oam-08-31</a>) about the reciprocal duality problem for the class of limited completely continuous operators.</p>

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On the duality of disjoint limited completely continuous operators

  • N. Hafidi,
  • J. H’Michane,
  • L. Zraoula

摘要

We study the duality problem for the class of disjoint limited completely continuous operators. As consequence, we give a generalization of a result given in H’michane et al. (Operators Matrices 8:593599, 2014. https://doi.org/10.7153/oam-08-31) about the direct duality problem and we give the correct version of the result given in H’michane et al. (Operators Matrices 8:593599, 2014. https://doi.org/10.7153/oam-08-31) about the reciprocal duality problem for the class of limited completely continuous operators.