Some characterizations of order weakly compact operator

Belmesnaoui Aqzzouz; Aziz Elbour

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Displaying similar documents to “Some characterizations of order weakly compact operator”

Some results on order weakly compact operators

Belmesnaoui Aqzzouz, Jawad Hmichane (2009)

Mathematica Bohemica

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We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.

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.

Browder-Krasnoselskii-type fixed point theorems in Banach spaces.

Agarwal, Ravi P., O&#039;Regan, Donal, Taoudi, Mohamed-Aziz (2010)

Fixed Point Theory and Applications [electronic only]

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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.

The weak compactness of almost Dunford-Pettis operators

Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)

Commentationes Mathematicae Universitatis Carolinae

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We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.

Sequential convergences and Dunford-Pettis properties.

Jaramillo, Jesús Angel, Prieto, Angeles, Zalduendo, Ignacio (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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