Some results on order weakly compact operators

Belmesnaoui Aqzzouz; Jawad Hmichane

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Displaying similar documents to “Some results on order weakly compact operators”

M-weak and L-weak compactness of b-weakly compact operators

J. H&amp;amp;#039;Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)

Commentationes Mathematicae Universitatis Carolinae

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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).

On the equality between some classes of operators on Banach lattices

Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)

Mathematica Bohemica

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We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.

The positive Schur property in Banach lattices.

José A. Sánchez H. (1992)

Extracta Mathematicae

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Some characterizations of weakly compact operator on Banach lattices

Belmesnaoui Aqzzouz, Khalid Bouras (2011)

Czechoslovak Mathematical Journal

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We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.

AM-Compactness of some classes of operators

Belmesnaoui Aqzzouz, Jawad H'michane (2012)

Commentationes Mathematicae Universitatis Carolinae

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We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.