A new operator characterization of the Dunford-Pettis property
Fernando Bombal Gordon (1987)
Extracta Mathematicae
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Displaying similar documents to “Almost Weakly Compact Operators”
A new operator characterization of the Dunford-Pettis property
On the Dunford-Pettis property
Bombal, Fernando (1988)
Portugaliae mathematica
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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.
Absolutely (∞,p) summing and weakly-p-compact operators in C(K).
Jesús M. Fernández Castillo (1990)
Extracta Mathematicae
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In this note we review some results about: 1. Representation of Absolutely (∞,p) summing operators (∏∞,p) in C(K,E) 2. Dunford-Pettis properties.
The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets
Ioana Ghenciu, Paul Lewis (2006)
Colloquium Mathematicae
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The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.
Dunford-Pettis-like properties of continuous vector function spaces.
Jesús M. Fernández Castillo, Fernando Sánchez (1993)
Revista Matemática de la Universidad Complutense de Madrid
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A note on L-Dunford-Pettis sets in a topological dual Banach space
Abderrahman Retbi (2020)
Czechoslovak Mathematical Journal
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The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
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.
On the class of order almost L-weakly compact operators
Kamal El Fahri, Hassan Khabaoui, Jawad Hmichane (2022)
Commentationes Mathematicae Universitatis Carolinae
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We introduce a new class of operators that generalizes L-weakly compact operators, which we call order almost L-weakly compact. We give some characterizations of this class and we show that this class of operators satisfies the domination problem.