The Dunford–Pettis property,
the Gelfand–Phillips property, and $L$-sets
Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 311-324
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
dunford pettis property gelfand phillips property studied context spaces operators idea l sets dual characterization dunford pettis property
Affiliations des auteurs :
Ioana Ghenciu 1 ; Paul Lewis 2
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author = {Ioana Ghenciu and Paul Lewis},
title = {The {Dunford{\textendash}Pettis} property,
the {Gelfand{\textendash}Phillips} property, and $L$-sets},
journal = {Colloquium Mathematicum},
pages = {311--324},
publisher = {mathdoc},
volume = {106},
number = {2},
year = {2006},
doi = {10.4064/cm106-2-11},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm106-2-11/}
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Ioana Ghenciu; Paul Lewis. The Dunford–Pettis property, the Gelfand–Phillips property, and $L$-sets. Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 311-324. doi: 10.4064/cm106-2-11
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