On the Surjective Dunford-Pettis Property.

José Mendoza; P. Cembranos; F. Bombal

Displaying similar documents to “On the Surjective Dunford-Pettis Property.”

Uniform Convergence of Operators and Grothendieck Spaces with the Dunford-Pettis Property.

Denny Leung (1988)

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The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets

Ioana Ghenciu, Paul Lewis (2006)

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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 Sets in the Space of Bochner Integrable Functions.

Kevin T. Andrews (1979)

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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.

A new operator characterization of the Dunford-Pettis property

Fernando Bombal Gordon (1987)

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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.

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.