On the Surjective Dunford-Pettis Property.
José Mendoza, P. Cembranos, F. Bombal (1990)
Mathematische Zeitschrift
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José Mendoza, P. Cembranos, F. Bombal (1990)
Mathematische Zeitschrift
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Heinrich P. Lotz (1985)
Mathematische Zeitschrift
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Ralph L. James (1971)
Mathematische Zeitschrift
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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.
José Aguayo-Garrido (1998)
Annales mathématiques Blaise Pascal
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Kevin T. Andrews (1979)
Mathematische Annalen
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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.
Rainer Wüst (1973)
Mathematische Zeitschrift
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Charles Swartz (1973)
Colloquium Mathematicae
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Charles W. Swartz (1975)
Czechoslovak Mathematical Journal
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