duality property for positive weak dunford-pettis operators

duality property for positive weak dunford-pettis operators

;Belmesnaoui Aqzzouz;Khalid Bouras;Mohammed Moussa
structural engineering and mechanics 2011 Vol. 2011 pp. -
50
aqzzouz2011internationalduality

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.

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