On the Dunford-Pettis property
Bombal, Fernando (1988)
Portugaliae mathematica
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Displaying similar documents to “Compactness in L¹ of a vector measure”
On the Dunford-Pettis property
A new operator characterization of the Dunford-Pettis property
Fernando Bombal Gordon (1987)
Extracta Mathematicae
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Quantification of the reciprocal Dunford-Pettis property
Ondřej F. K. Kalenda, Jiří Spurný (2012)
Studia Mathematica
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We prove in particular that Banach spaces of the form C₀(Ω), where Ω is a locally compact space, enjoy a quantitative version of the reciprocal Dunford-Pettis property.
A new proof that every weakly compact operator with domain L(μ) is representable.
Diómedes Bárcenas (1991)
Extracta Mathematicae
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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.
Almost Weakly Compact Operators
Ioana Ghenciu, Paul Lewis (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.
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.
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.