Duality Property for Positive Weak Dunford-Pettis Operators

Belmesnaoui Aqzzouz, Khalid Bouras and Mohammed Moussa

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-12

Abstract:

We prove that an operator is weak Dunford-Pettis if its adjoint is one but the converse is false in general, and we give some necessary and sufficient conditions under which each positive weak Dunford-Pettis operator has an adjoint which is weak Dunford-Pettis.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:609287

DOI: 10.1155/2011/609287

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